How do you find the greatest common factor?

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

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What are the steps to finding the greatest common factor?

How to find the greatest common factor (GCF) of two expressions.
  1. Factor each coefficient into primes. Write all variables with exponents in expanded form.
  2. List all factors—matching common factors in a column. ...
  3. Bring down the common factors that all expressions share.
  4. Multiply the factors.

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What are the 3 ways to find the greatest common factor?

To calculate GCF, there are three common ways- division, multiplication, and prime factorization.

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What is the GCF of 24 and 36?

The Highest Common Factor, also known as the Greatest Common Factor, of 24 and 36 is 12.

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What is the GCF of 15 and 45?

Solution: The GCF of 15 and 45 is 15.

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Greatest Common Factor | How to Find the Greatest Common Factor (GCF)

43 related questions found

What is the GCF of 18 and 45?

There are 3 common factors of 18 and 45, and they are 1, 3 and 9. Therefore, the highest common factor of 18 and 45 is 9.

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What is the GCF of 8 and 12?

In the given set of numbers 8 and 12, 4 is the Greatest Common Factor (GCF) that divides both 8 and 12. Thus, we can say the Highest Common Factor of 8 and 12 is 4.

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What is the greatest common factor of 16 and 24?

8 is a common factor of 16 and 24.

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What is the greatest common factor explained?

The greatest common factor (GCF) is the largest whole number which is shared by given numbers. For example, common factors of 10 and 20 are 1, 2, 5 and 10, but the highest of those is 10; therefore, the greatest common factor of 10 and 20 is 10.

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What are the main prime numbers?

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers. The number 1 is neither prime nor composite. Prime numbers can be used for a number of reasons.

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What is the GCF of 36 and 60?

So the highest common factor or the greatest common factor of 36 and 60 is 12.

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What is the GCF of 64 and 96?

There are 4 common factors of 64 and 96, and they are 1, 2, 4, 8, 12, 16 and 32. Therefore, the highest common factor of 64 and 96 is 32.

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What is prime factorization of 300?

The prime factorization of 300 can be represented by using a factor tree as shown below. So, the prime factorization of 300 is 300 = 2 x 2 x 3 x 5 x 5 and the prime factors of 300 are 2, 3, and 5.

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What are the prime numbers to 10?

The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. There are 25 prime numbers between 1 and 100. Prime numbers include large numbers and can continue well past 100. For example, 21,577 is a prime number.

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What is the common denominator of 6 and 10?

LCM of 6 and 10 is 30.

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What is the LCM of 6 and 4?

The lowest common multiple is the lowest multiple shared by two or more numbers. For example, common multiples of 4 and 6 are 12, 24 and 36, but the lowest of those is 12; therefore, the lowest common multiple of 4 and 6 is 12.

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What is the LCM of 8 and 6?

It is the least number among the common multiples. Since the least number among 24, 48 and 72 is “24”, the LCM of 8 and 6 is 24.

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Is 57 a composite number if so why?

The unique numbers in the above pairs are the factors for 57, i.e. 1, 3, 19 and 57. That means the number 57 has more than two factors. Hence, 57 is not a prime number but a composite number.

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Is 73 a mirror prime number?

“The best number is 73,” Cooper explained in the episode. “Why? 73 is the 21st prime number. Its mirror, 37, is the 12th, and its mirror, 21, is the product of multiplying seven and three ... and in binary, 73 is a palindrome, 1001001, which backwards is 1001001.”

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Which is the first odd number after 90?

Odd numbers 1 to 100

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99.

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Is GCF the same as HCF?

The Highest Common Factor (HCF) of two or more numbers is the greatest of all their common factors. Therefore, it is also called the greatest common factor (GCF).

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