What is the Greatest Common Factor of 77916 and 77928?

Greatest common factor (GCF) of 77916 and 77928 is 12.

GCF(77916,77928) = 12

We will now calculate the prime factors of 77916 and 77928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77916 and 77928.

How to find the GCF of 77916 and 77928?

We will first find the prime factorization of 77916 and 77928. After we will calculate the factors of 77916 and 77928 and find the biggest common factor number .

Step-1: Prime Factorization of 77916

Prime factors of 77916 are 2, 3, 43, 151. Prime factorization of 77916 in exponential form is:

77916 = 2² × 3¹ × 43¹ × 151¹

Step-2: Prime Factorization of 77928

Prime factors of 77928 are 2, 3, 17, 191. Prime factorization of 77928 in exponential form is:

77928 = 2³ × 3¹ × 17¹ × 191¹

Step-3: Factors of 77916

List of positive integer factors of 77916 that divides 77916 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 151, 172, 258, 302, 453, 516, 604, 906, 1812, 6493, 12986, 19479, 25972, 38958

Step-4: Factors of 77928

List of positive integer factors of 77928 that divides 77916 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 191, 204, 382, 408, 573, 764, 1146, 1528, 2292, 3247, 4584, 6494, 9741, 12988, 19482, 25976, 38964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77916 and 77928. The biggest common factor number is the GCF number.
So the greatest common factor 77916 and 77928 is 12.

Also check out the Least Common Multiple of 77916 and 77928