What is the Greatest Common Factor of 31941 and 31957?

Greatest common factor (GCF) of 31941 and 31957 is 1.

GCF(31941,31957) = 1

We will now calculate the prime factors of 31941 and 31957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31941 and 31957.

How to find the GCF of 31941 and 31957?

We will first find the prime factorization of 31941 and 31957. After we will calculate the factors of 31941 and 31957 and find the biggest common factor number .

Step-1: Prime Factorization of 31941

Prime factors of 31941 are 3, 7, 13. Prime factorization of 31941 in exponential form is:

31941 = 3³ × 7¹ × 13²

Step-2: Prime Factorization of 31957

Prime factors of 31957 are 31957. Prime factorization of 31957 in exponential form is:

31957 = 31957¹

Step-3: Factors of 31941

List of positive integer factors of 31941 that divides 31941 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 169, 189, 273, 351, 507, 819, 1183, 1521, 2457, 3549, 4563, 10647

Step-4: Factors of 31957

List of positive integer factors of 31957 that divides 31941 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31941 and 31957. The biggest common factor number is the GCF number.
So the greatest common factor 31941 and 31957 is 1.

Also check out the Least Common Multiple of 31941 and 31957