What is the Greatest Common Factor of 77896 and 77912?

Greatest common factor (GCF) of 77896 and 77912 is 8.

GCF(77896,77912) = 8

We will now calculate the prime factors of 77896 and 77912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77896 and 77912.

How to find the GCF of 77896 and 77912?

We will first find the prime factorization of 77896 and 77912. After we will calculate the factors of 77896 and 77912 and find the biggest common factor number .

Step-1: Prime Factorization of 77896

Prime factors of 77896 are 2, 7, 13, 107. Prime factorization of 77896 in exponential form is:

77896 = 2³ × 7¹ × 13¹ × 107¹

Step-2: Prime Factorization of 77912

Prime factors of 77912 are 2, 9739. Prime factorization of 77912 in exponential form is:

77912 = 2³ × 9739¹

Step-3: Factors of 77896

List of positive integer factors of 77896 that divides 77896 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 107, 182, 214, 364, 428, 728, 749, 856, 1391, 1498, 2782, 2996, 5564, 5992, 9737, 11128, 19474, 38948

Step-4: Factors of 77912

List of positive integer factors of 77912 that divides 77896 without a remainder.

1, 2, 4, 8, 9739, 19478, 38956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77896 and 77912. The biggest common factor number is the GCF number.
So the greatest common factor 77896 and 77912 is 8.

Also check out the Least Common Multiple of 77896 and 77912