What is the Greatest Common Factor of 32946 and 32965?

Greatest common factor (GCF) of 32946 and 32965 is 19.

GCF(32946,32965) = 19

We will now calculate the prime factors of 32946 and 32965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32946 and 32965.

How to find the GCF of 32946 and 32965?

We will first find the prime factorization of 32946 and 32965. After we will calculate the factors of 32946 and 32965 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 32965

Prime factors of 32965 are 5, 19, 347. Prime factorization of 32965 in exponential form is:

32965 = 5¹ × 19¹ × 347¹

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 32965

List of positive integer factors of 32965 that divides 32946 without a remainder.

1, 5, 19, 95, 347, 1735, 6593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32946 and 32965. The biggest common factor number is the GCF number.
So the greatest common factor 32946 and 32965 is 19.

Also check out the Least Common Multiple of 32946 and 32965