What is the Greatest Common Factor of 32946 and 32951?

Greatest common factor (GCF) of 32946 and 32951 is 1.

GCF(32946,32951) = 1

We will now calculate the prime factors of 32946 and 32951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32946 and 32951.

How to find the GCF of 32946 and 32951?

We will first find the prime factorization of 32946 and 32951. After we will calculate the factors of 32946 and 32951 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 32951

Prime factors of 32951 are 83, 397. Prime factorization of 32951 in exponential form is:

32951 = 83¹ × 397¹

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 32951

List of positive integer factors of 32951 that divides 32946 without a remainder.

1, 83, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32946 and 32951. The biggest common factor number is the GCF number.
So the greatest common factor 32946 and 32951 is 1.

Also check out the Least Common Multiple of 32946 and 32951