What is the Greatest Common Factor of 32928 and 32936?

Greatest common factor (GCF) of 32928 and 32936 is 8.

GCF(32928,32936) = 8

We will now calculate the prime factors of 32928 and 32936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32928 and 32936.

How to find the GCF of 32928 and 32936?

We will first find the prime factorization of 32928 and 32936. After we will calculate the factors of 32928 and 32936 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 32936

Prime factors of 32936 are 2, 23, 179. Prime factorization of 32936 in exponential form is:

32936 = 2³ × 23¹ × 179¹

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 32936

List of positive integer factors of 32936 that divides 32928 without a remainder.

1, 2, 4, 8, 23, 46, 92, 179, 184, 358, 716, 1432, 4117, 8234, 16468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32928 and 32936. The biggest common factor number is the GCF number.
So the greatest common factor 32928 and 32936 is 8.

Also check out the Least Common Multiple of 32928 and 32936