What is the Greatest Common Factor of 76912 and 76928?

Greatest common factor (GCF) of 76912 and 76928 is 16.

GCF(76912,76928) = 16

We will now calculate the prime factors of 76912 and 76928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76912 and 76928.

How to find the GCF of 76912 and 76928?

We will first find the prime factorization of 76912 and 76928. After we will calculate the factors of 76912 and 76928 and find the biggest common factor number .

Step-1: Prime Factorization of 76912

Prime factors of 76912 are 2, 11, 19, 23. Prime factorization of 76912 in exponential form is:

76912 = 2⁴ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 76928

Prime factors of 76928 are 2, 601. Prime factorization of 76928 in exponential form is:

76928 = 2⁷ × 601¹

Step-3: Factors of 76912

List of positive integer factors of 76912 that divides 76912 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 23, 38, 44, 46, 76, 88, 92, 152, 176, 184, 209, 253, 304, 368, 418, 437, 506, 836, 874, 1012, 1672, 1748, 2024, 3344, 3496, 4048, 4807, 6992, 9614, 19228, 38456

Step-4: Factors of 76928

List of positive integer factors of 76928 that divides 76912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 601, 1202, 2404, 4808, 9616, 19232, 38464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76912 and 76928. The biggest common factor number is the GCF number.
So the greatest common factor 76912 and 76928 is 16.

Also check out the Least Common Multiple of 76912 and 76928