What is the Greatest Common Factor of 31932 and 31941?

Greatest common factor (GCF) of 31932 and 31941 is 9.

GCF(31932,31941) = 9

We will now calculate the prime factors of 31932 and 31941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31932 and 31941.

How to find the GCF of 31932 and 31941?

We will first find the prime factorization of 31932 and 31941. After we will calculate the factors of 31932 and 31941 and find the biggest common factor number .

Step-1: Prime Factorization of 31932

Prime factors of 31932 are 2, 3, 887. Prime factorization of 31932 in exponential form is:

31932 = 2² × 3² × 887¹

Step-2: 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-3: Factors of 31932

List of positive integer factors of 31932 that divides 31932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 887, 1774, 2661, 3548, 5322, 7983, 10644, 15966

Step-4: Factors of 31941

List of positive integer factors of 31941 that divides 31932 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31932 and 31941. The biggest common factor number is the GCF number.
So the greatest common factor 31932 and 31941 is 9.

Also check out the Least Common Multiple of 31932 and 31941