What is the Greatest Common Factor of 32928 and 32938?

Greatest common factor (GCF) of 32928 and 32938 is 2.

GCF(32928,32938) = 2

We will now calculate the prime factors of 32928 and 32938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32928 and 32938.

How to find the GCF of 32928 and 32938?

We will first find the prime factorization of 32928 and 32938. After we will calculate the factors of 32928 and 32938 and find the biggest common factor number .

Step-1: Prime Factorization of 32928

Prime factors of 32928 are 2, 3, 7. Prime factorization of 32928 in exponential form is:

32928 = 2⁵ × 3¹ × 7³

Step-2: 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-3: Factors of 32928

List of positive integer factors of 32928 that divides 32928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 343, 392, 588, 672, 686, 784, 1029, 1176, 1372, 1568, 2058, 2352, 2744, 4116, 4704, 5488, 8232, 10976, 16464

Step-4: Factors of 32938

List of positive integer factors of 32938 that divides 32928 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32928 and 32938. The biggest common factor number is the GCF number.
So the greatest common factor 32928 and 32938 is 2.

Also check out the Least Common Multiple of 32928 and 32938