What is the Greatest Common Factor of 13937 and 13948?

Greatest common factor (GCF) of 13937 and 13948 is 11.

GCF(13937,13948) = 11

We will now calculate the prime factors of 13937 and 13948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13937 and 13948.

How to find the GCF of 13937 and 13948?

We will first find the prime factorization of 13937 and 13948. After we will calculate the factors of 13937 and 13948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13948

Prime factors of 13948 are 2, 11, 317. Prime factorization of 13948 in exponential form is:

13948 = 2² × 11¹ × 317¹

Step-3: Factors of 13937

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

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

Step-4: Factors of 13948

List of positive integer factors of 13948 that divides 13937 without a remainder.

1, 2, 4, 11, 22, 44, 317, 634, 1268, 3487, 6974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13937 and 13948. The biggest common factor number is the GCF number.
So the greatest common factor 13937 and 13948 is 11.

Also check out the Least Common Multiple of 13937 and 13948