What is the Greatest Common Factor of 13357 and 13376?

Greatest common factor (GCF) of 13357 and 13376 is 19.

GCF(13357,13376) = 19

We will now calculate the prime factors of 13357 and 13376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13357 and 13376.

How to find the GCF of 13357 and 13376?

We will first find the prime factorization of 13357 and 13376. After we will calculate the factors of 13357 and 13376 and find the biggest common factor number .

Step-1: Prime Factorization of 13357

Prime factors of 13357 are 19, 37. Prime factorization of 13357 in exponential form is:

13357 = 19² × 37¹

Step-2: Prime Factorization of 13376

Prime factors of 13376 are 2, 11, 19. Prime factorization of 13376 in exponential form is:

13376 = 2⁶ × 11¹ × 19¹

Step-3: Factors of 13357

List of positive integer factors of 13357 that divides 13357 without a remainder.

1, 19, 37, 361, 703

Step-4: Factors of 13376

List of positive integer factors of 13376 that divides 13357 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 152, 176, 209, 304, 352, 418, 608, 704, 836, 1216, 1672, 3344, 6688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13357 and 13376. The biggest common factor number is the GCF number.
So the greatest common factor 13357 and 13376 is 19.

Also check out the Least Common Multiple of 13357 and 13376