What is the Greatest Common Factor of 364 and 377?

Greatest common factor (GCF) of 364 and 377 is 13.

GCF(364,377) = 13

We will now calculate the prime factors of 364 and 377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 364 and 377.

How to find the GCF of 364 and 377?

We will first find the prime factorization of 364 and 377. After we will calculate the factors of 364 and 377 and find the biggest common factor number .

Step-1: Prime Factorization of 364

Prime factors of 364 are 2, 7, 13. Prime factorization of 364 in exponential form is:

364 = 2² × 7¹ × 13¹

Step-2: Prime Factorization of 377

Prime factors of 377 are 13, 29. Prime factorization of 377 in exponential form is:

377 = 13¹ × 29¹

Step-3: Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182

Step-4: Factors of 377

List of positive integer factors of 377 that divides 364 without a remainder.

1, 13, 29

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 364 and 377. The biggest common factor number is the GCF number.
So the greatest common factor 364 and 377 is 13.

Also check out the Least Common Multiple of 364 and 377