What is the Greatest Common Factor of 1337 and 1356?

Greatest common factor (GCF) of 1337 and 1356 is 1.

GCF(1337,1356) = 1

We will now calculate the prime factors of 1337 and 1356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1337 and 1356.

How to find the GCF of 1337 and 1356?

We will first find the prime factorization of 1337 and 1356. After we will calculate the factors of 1337 and 1356 and find the biggest common factor number .

Step-1: Prime Factorization of 1337

Prime factors of 1337 are 7, 191. Prime factorization of 1337 in exponential form is:

1337 = 7¹ × 191¹

Step-2: Prime Factorization of 1356

Prime factors of 1356 are 2, 3, 113. Prime factorization of 1356 in exponential form is:

1356 = 2² × 3¹ × 113¹

Step-3: Factors of 1337

List of positive integer factors of 1337 that divides 1337 without a remainder.

1, 7, 191

Step-4: Factors of 1356

List of positive integer factors of 1356 that divides 1337 without a remainder.

1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1337 and 1356. The biggest common factor number is the GCF number.
So the greatest common factor 1337 and 1356 is 1.

Also check out the Least Common Multiple of 1337 and 1356