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GCF of 18 and 68
What is the GCF of 18 and 68? - The GCF of 18 and 68 is 2.
Follow the step by step instructions on how to find the great common factor of 18 and 68.
What is the greatest common factor of 18 and 68?
How to find the gcf of 18 and 68?
Method 1 - Listing Factors
To find the gcf of 18 and 68, we first need to find the factors of 18 and 68 and then choose the greatest common factor that are dividable by both 18 and 68.
Factors of 18 = 1, 2, 3, 6, 9, 18
Factors of 68 = 1, 2, 4, 17, 34, 68
The greatest common factor of 18 and 68 is 2, because 2 is the largest number that is divisible by both numbers.
Method 2 - Prime Factorization
Another method to find the greatest common factor of 18 and 68 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 18 and 68, and then get the GCF by multiplying all the common prime factors from the two sets.
Prime factorization of 18 = 2 x 3 x 3
Prime factorization of 68 = 2 x 2 x 17
Common prime factors = 2 = 2
GCF of 17 and 68
GCF of 19 and 68
GCF of 18 and 69
GCF of 18 and 67
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