What is the Greatest Common Factor of 13926 and 13937?

Greatest common factor (GCF) of 13926 and 13937 is 11.

GCF(13926,13937) = 11

We will now calculate the prime factors of 13926 and 13937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13926 and 13937.

How to find the GCF of 13926 and 13937?

We will first find the prime factorization of 13926 and 13937. After we will calculate the factors of 13926 and 13937 and find the biggest common factor number .

Step-1: Prime Factorization of 13926

Prime factors of 13926 are 2, 3, 11, 211. Prime factorization of 13926 in exponential form is:

13926 = 2¹ × 3¹ × 11¹ × 211¹

Step-2: Prime Factorization of 13937

Prime factors of 13937 are 7, 11, 181. Prime factorization of 13937 in exponential form is:

13937 = 7¹ × 11¹ × 181¹

Step-3: Factors of 13926

List of positive integer factors of 13926 that divides 13926 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 211, 422, 633, 1266, 2321, 4642, 6963

Step-4: Factors of 13937

List of positive integer factors of 13937 that divides 13926 without a remainder.

1, 7, 11, 77, 181, 1267, 1991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13926 and 13937. The biggest common factor number is the GCF number.
So the greatest common factor 13926 and 13937 is 11.

Also check out the Least Common Multiple of 13926 and 13937