What is the Greatest Common Factor of 32938 and 32946?

Greatest common factor (GCF) of 32938 and 32946 is 2.

GCF(32938,32946) = 2

We will now calculate the prime factors of 32938 and 32946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32938 and 32946.

How to find the GCF of 32938 and 32946?

We will first find the prime factorization of 32938 and 32946. After we will calculate the factors of 32938 and 32946 and find the biggest common factor number .

Step-1: Prime Factorization of 32938

Prime factors of 32938 are 2, 43, 383. Prime factorization of 32938 in exponential form is:

32938 = 2¹ × 43¹ × 383¹

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 32938

List of positive integer factors of 32938 that divides 32938 without a remainder.

1, 2, 43, 86, 383, 766, 16469

Step-4: Factors of 32946

List of positive integer factors of 32946 that divides 32938 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 32938 and 32946. The biggest common factor number is the GCF number.
So the greatest common factor 32938 and 32946 is 2.

Also check out the Least Common Multiple of 32938 and 32946