What is the Greatest Common Factor of 32931 and 32946?

Greatest common factor (GCF) of 32931 and 32946 is 3.

GCF(32931,32946) = 3

We will now calculate the prime factors of 32931 and 32946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32931 and 32946.

How to find the GCF of 32931 and 32946?

We will first find the prime factorization of 32931 and 32946. After we will calculate the factors of 32931 and 32946 and find the biggest common factor number .

Step-1: Prime Factorization of 32931

Prime factors of 32931 are 3, 3659. Prime factorization of 32931 in exponential form is:

32931 = 3² × 3659¹

Step-2: Prime Factorization of 32946

Prime factors of 32946 are 2, 3, 17, 19. Prime factorization of 32946 in exponential form is:

32946 = 2¹ × 3¹ × 17² × 19¹

Step-3: Factors of 32931

List of positive integer factors of 32931 that divides 32931 without a remainder.

1, 3, 9, 3659, 10977

Step-4: Factors of 32946

List of positive integer factors of 32946 that divides 32931 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 289, 323, 578, 646, 867, 969, 1734, 1938, 5491, 10982, 16473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32931 and 32946. The biggest common factor number is the GCF number.
So the greatest common factor 32931 and 32946 is 3.

Also check out the Least Common Multiple of 32931 and 32946