What is the Greatest Common Factor of 31922 and 31938?

Greatest common factor (GCF) of 31922 and 31938 is 2.

GCF(31922,31938) = 2

We will now calculate the prime factors of 31922 and 31938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31922 and 31938.

How to find the GCF of 31922 and 31938?

We will first find the prime factorization of 31922 and 31938. After we will calculate the factors of 31922 and 31938 and find the biggest common factor number .

Step-1: Prime Factorization of 31922

Prime factors of 31922 are 2, 11, 1451. Prime factorization of 31922 in exponential form is:

31922 = 2¹ × 11¹ × 1451¹

Step-2: Prime Factorization of 31938

Prime factors of 31938 are 2, 3, 5323. Prime factorization of 31938 in exponential form is:

31938 = 2¹ × 3¹ × 5323¹

Step-3: Factors of 31922

List of positive integer factors of 31922 that divides 31922 without a remainder.

1, 2, 11, 22, 1451, 2902, 15961

Step-4: Factors of 31938

List of positive integer factors of 31938 that divides 31922 without a remainder.

1, 2, 3, 6, 5323, 10646, 15969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31922 and 31938. The biggest common factor number is the GCF number.
So the greatest common factor 31922 and 31938 is 2.

Also check out the Least Common Multiple of 31922 and 31938