What is the Greatest Common Factor of 77364 and 77381?

Greatest common factor (GCF) of 77364 and 77381 is 1.

GCF(77364,77381) = 1

We will now calculate the prime factors of 77364 and 77381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77364 and 77381.

How to find the GCF of 77364 and 77381?

We will first find the prime factorization of 77364 and 77381. After we will calculate the factors of 77364 and 77381 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 77381

Prime factors of 77381 are 223, 347. Prime factorization of 77381 in exponential form is:

77381 = 223¹ × 347¹

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 77381

List of positive integer factors of 77381 that divides 77364 without a remainder.

1, 223, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77364 and 77381. The biggest common factor number is the GCF number.
So the greatest common factor 77364 and 77381 is 1.

Also check out the Least Common Multiple of 77364 and 77381