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Online Calculators > Math Calculators
GCF of 16 and 30
What is the GCF of 16 and 30? - The GCF of 16 and 30 is 2.
Follow the step by step instructions on how to find the great common factor of 16 and 30.
What is the greatest common factor of 16 and 30?
How to find the gcf of 16 and 30?
Method 1 - Listing Factors
To find the gcf of 16 and 30, we first need to find the factors of 16 and 30 and then choose the greatest common factor that are dividable by both 16 and 30.
Factors of 16 = 1, 2, 4, 8, 16
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
The greatest common factor of 16 and 30 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 16 and 30 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 16 and 30, 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 30 = 2 x 3 x 5
Common prime factors = 2 = 2
GCF of 15 and 30
GCF of 17 and 30
GCF of 16 and 31
GCF of 16 and 29
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