What is the Greatest Common Factor of 32946 and 32957?

Greatest common factor (GCF) of 32946 and 32957 is 1.

GCF(32946,32957) = 1

We will now calculate the prime factors of 32946 and 32957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32946 and 32957.

How to find the GCF of 32946 and 32957?

We will first find the prime factorization of 32946 and 32957. After we will calculate the factors of 32946 and 32957 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32957

Prime factors of 32957 are 32957. Prime factorization of 32957 in exponential form is:

32957 = 32957¹

Step-3: Factors of 32946

List of positive integer factors of 32946 that divides 32946 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

Step-4: Factors of 32957

List of positive integer factors of 32957 that divides 32946 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32946 and 32957. The biggest common factor number is the GCF number.
So the greatest common factor 32946 and 32957 is 1.

Also check out the Least Common Multiple of 32946 and 32957