What is the Greatest Common Factor of 77364 and 77369?

Greatest common factor (GCF) of 77364 and 77369 is 1.

GCF(77364,77369) = 1

We will now calculate the prime factors of 77364 and 77369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77364 and 77369.

How to find the GCF of 77364 and 77369?

We will first find the prime factorization of 77364 and 77369. After we will calculate the factors of 77364 and 77369 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 77369

Prime factors of 77369 are 77369. Prime factorization of 77369 in exponential form is:

77369 = 77369¹

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 77369

List of positive integer factors of 77369 that divides 77364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77364 and 77369. The biggest common factor number is the GCF number.
So the greatest common factor 77364 and 77369 is 1.

Also check out the Least Common Multiple of 77364 and 77369