What is the Greatest Common Factor of 77364 and 77371?

Greatest common factor (GCF) of 77364 and 77371 is 7.

GCF(77364,77371) = 7

We will now calculate the prime factors of 77364 and 77371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77364 and 77371.

How to find the GCF of 77364 and 77371?

We will first find the prime factorization of 77364 and 77371. After we will calculate the factors of 77364 and 77371 and find the biggest common factor number .

Step-1: Prime Factorization of 77364

Prime factors of 77364 are 2, 3, 7, 307. Prime factorization of 77364 in exponential form is:

77364 = 2² × 3² × 7¹ × 307¹

Step-2: Prime Factorization of 77371

Prime factors of 77371 are 7, 1579. Prime factorization of 77371 in exponential form is:

77371 = 7² × 1579¹

Step-3: Factors of 77364

List of positive integer factors of 77364 that divides 77364 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 307, 614, 921, 1228, 1842, 2149, 2763, 3684, 4298, 5526, 6447, 8596, 11052, 12894, 19341, 25788, 38682

Step-4: Factors of 77371

List of positive integer factors of 77371 that divides 77364 without a remainder.

1, 7, 49, 1579, 11053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77364 and 77371. The biggest common factor number is the GCF number.
So the greatest common factor 77364 and 77371 is 7.

Also check out the Least Common Multiple of 77364 and 77371