What is the Greatest Common Factor of 77364 and 77377?

Greatest common factor (GCF) of 77364 and 77377 is 1.

GCF(77364,77377) = 1

We will now calculate the prime factors of 77364 and 77377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77364 and 77377.

How to find the GCF of 77364 and 77377?

We will first find the prime factorization of 77364 and 77377. After we will calculate the factors of 77364 and 77377 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 77377

Prime factors of 77377 are 77377. Prime factorization of 77377 in exponential form is:

77377 = 77377¹

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 77377

List of positive integer factors of 77377 that divides 77364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77364 and 77377. The biggest common factor number is the GCF number.
So the greatest common factor 77364 and 77377 is 1.

Also check out the Least Common Multiple of 77364 and 77377