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GCF of 28 and 42
What is the GCF of 28 and 42? - The GCF of 28 and 42 is 14.
Follow the step by step instructions on how to find the great common factor of 28 and 42.
What is the greatest common factor of 28 and 42?
How to find the gcf of 28 and 42?
Method 1 - Listing Factors
To find the gcf of 28 and 42, we first need to find the factors of 28 and 42 and then choose the greatest common factor that are dividable by both 28 and 42.
Factors of 28 = 1, 2, 4, 7, 14, 28
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42
The greatest common factor of 28 and 42 is 14, because 14 is the largest number that is divisible by both numbers.
Method 2 - Prime Factorization
Another method to find the greatest common factor of 28 and 42 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 28 and 42, and then get the GCF by multiplying all the common prime factors from the two sets.
Prime factorization of 28 = 2 x 2 x 7
Prime factorization of 42 = 2 x 3 x 7
Common prime factors = 2 x 7 = 14
GCF of 27 and 42
GCF of 29 and 42
GCF of 28 and 43
GCF of 28 and 41
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