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GCF of 16 and 24

What is the GCF of 16 and 24? - The GCF of 16 and 24 is 8. Follow the step by step instructions on how to find the great common factor of 16 and 24.

Greatest Common Factor of 16 and 24

Number 1:
Number 2:

What is the greatest common factor of 16 and 24?

Answer: 8

How to find the gcf of 16 and 24?

Method 1 - Listing Factors

To find the gcf of 16 and 24, we first need to find the factors of 16 and 24 and then choose the greatest common factor that are dividable by both 16 and 24.

Factors of 16 = 1, 2, 4, 8, 16
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor of 16 and 24 is 8, because 8 is the largest number that is divisible by both numbers.





Method 2 - Prime Factorization

Another method to find the greatest common factor of 16 and 24 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 16 and 24, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 16 = 2 x 2 x 2 x 2
Prime factorization of 24 = 2 x 2 x 2 x 3
Common prime factors = 2 x 2 x 2 = 8

GCF of 15 and 24
GCF of 17 and 24
GCF of 16 and 25
GCF of 16 and 23

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