What is the Greatest Common Factor of 76921 and 76934?

Greatest common factor (GCF) of 76921 and 76934 is 13.

GCF(76921,76934) = 13

We will now calculate the prime factors of 76921 and 76934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76921 and 76934.

How to find the GCF of 76921 and 76934?

We will first find the prime factorization of 76921 and 76934. After we will calculate the factors of 76921 and 76934 and find the biggest common factor number .

Step-1: Prime Factorization of 76921

Prime factors of 76921 are 13, 61, 97. Prime factorization of 76921 in exponential form is:

76921 = 13¹ × 61¹ × 97¹

Step-2: Prime Factorization of 76934

Prime factors of 76934 are 2, 11, 13, 269. Prime factorization of 76934 in exponential form is:

76934 = 2¹ × 11¹ × 13¹ × 269¹

Step-3: Factors of 76921

List of positive integer factors of 76921 that divides 76921 without a remainder.

1, 13, 61, 97, 793, 1261, 5917

Step-4: Factors of 76934

List of positive integer factors of 76934 that divides 76921 without a remainder.

1, 2, 11, 13, 22, 26, 143, 269, 286, 538, 2959, 3497, 5918, 6994, 38467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76921 and 76934. The biggest common factor number is the GCF number.
So the greatest common factor 76921 and 76934 is 13.

Also check out the Least Common Multiple of 76921 and 76934