What is the Greatest Common Factor of 21931 and 21938?

Greatest common factor (GCF) of 21931 and 21938 is 7.

GCF(21931,21938) = 7

We will now calculate the prime factors of 21931 and 21938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21931 and 21938.

How to find the GCF of 21931 and 21938?

We will first find the prime factorization of 21931 and 21938. After we will calculate the factors of 21931 and 21938 and find the biggest common factor number .

Step-1: Prime Factorization of 21931

Prime factors of 21931 are 7, 13, 241. Prime factorization of 21931 in exponential form is:

21931 = 7¹ × 13¹ × 241¹

Step-2: Prime Factorization of 21938

Prime factors of 21938 are 2, 7, 1567. Prime factorization of 21938 in exponential form is:

21938 = 2¹ × 7¹ × 1567¹

Step-3: Factors of 21931

List of positive integer factors of 21931 that divides 21931 without a remainder.

1, 7, 13, 91, 241, 1687, 3133

Step-4: Factors of 21938

List of positive integer factors of 21938 that divides 21931 without a remainder.

1, 2, 7, 14, 1567, 3134, 10969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21931 and 21938. The biggest common factor number is the GCF number.
So the greatest common factor 21931 and 21938 is 7.

Also check out the Least Common Multiple of 21931 and 21938