What is the Greatest Common Factor of 32938 and 32948?

Greatest common factor (GCF) of 32938 and 32948 is 2.

GCF(32938,32948) = 2

We will now calculate the prime factors of 32938 and 32948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32938 and 32948.

How to find the GCF of 32938 and 32948?

We will first find the prime factorization of 32938 and 32948. After we will calculate the factors of 32938 and 32948 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 32948

Prime factors of 32948 are 2, 8237. Prime factorization of 32948 in exponential form is:

32948 = 2² × 8237¹

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 32948

List of positive integer factors of 32948 that divides 32938 without a remainder.

1, 2, 4, 8237, 16474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32938 and 32948. The biggest common factor number is the GCF number.
So the greatest common factor 32938 and 32948 is 2.

Also check out the Least Common Multiple of 32938 and 32948