What is the Greatest Common Factor of 76893 and 76912?

Greatest common factor (GCF) of 76893 and 76912 is 19.

GCF(76893,76912) = 19

We will now calculate the prime factors of 76893 and 76912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76893 and 76912.

How to find the GCF of 76893 and 76912?

We will first find the prime factorization of 76893 and 76912. After we will calculate the factors of 76893 and 76912 and find the biggest common factor number .

Step-1: Prime Factorization of 76893

Prime factors of 76893 are 3, 19, 71. Prime factorization of 76893 in exponential form is:

76893 = 3¹ × 19² × 71¹

Step-2: 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-3: Factors of 76893

List of positive integer factors of 76893 that divides 76893 without a remainder.

1, 3, 19, 57, 71, 213, 361, 1083, 1349, 4047, 25631

Step-4: Factors of 76912

List of positive integer factors of 76912 that divides 76893 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76893 and 76912. The biggest common factor number is the GCF number.
So the greatest common factor 76893 and 76912 is 19.

Also check out the Least Common Multiple of 76893 and 76912