What is the Greatest Common Factor of 1364 and 1377?

Greatest common factor (GCF) of 1364 and 1377 is 1.

GCF(1364,1377) = 1

We will now calculate the prime factors of 1364 and 1377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1364 and 1377.

How to find the GCF of 1364 and 1377?

We will first find the prime factorization of 1364 and 1377. After we will calculate the factors of 1364 and 1377 and find the biggest common factor number .

Step-1: Prime Factorization of 1364

Prime factors of 1364 are 2, 11, 31. Prime factorization of 1364 in exponential form is:

1364 = 2² × 11¹ × 31¹

Step-2: Prime Factorization of 1377

Prime factors of 1377 are 3, 17. Prime factorization of 1377 in exponential form is:

1377 = 3⁴ × 17¹

Step-3: Factors of 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682

Step-4: Factors of 1377

List of positive integer factors of 1377 that divides 1364 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1364 and 1377. The biggest common factor number is the GCF number.
So the greatest common factor 1364 and 1377 is 1.

Also check out the Least Common Multiple of 1364 and 1377