What is the Greatest Common Factor of 13938 and 13957?

Greatest common factor (GCF) of 13938 and 13957 is 1.

GCF(13938,13957) = 1

We will now calculate the prime factors of 13938 and 13957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13938 and 13957.

How to find the GCF of 13938 and 13957?

We will first find the prime factorization of 13938 and 13957. After we will calculate the factors of 13938 and 13957 and find the biggest common factor number .

Step-1: Prime Factorization of 13938

Prime factors of 13938 are 2, 3, 23, 101. Prime factorization of 13938 in exponential form is:

13938 = 2¹ × 3¹ × 23¹ × 101¹

Step-2: Prime Factorization of 13957

Prime factors of 13957 are 17, 821. Prime factorization of 13957 in exponential form is:

13957 = 17¹ × 821¹

Step-3: Factors of 13938

List of positive integer factors of 13938 that divides 13938 without a remainder.

1, 2, 3, 6, 23, 46, 69, 101, 138, 202, 303, 606, 2323, 4646, 6969

Step-4: Factors of 13957

List of positive integer factors of 13957 that divides 13938 without a remainder.

1, 17, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13938 and 13957. The biggest common factor number is the GCF number.
So the greatest common factor 13938 and 13957 is 1.

Also check out the Least Common Multiple of 13938 and 13957