What is the Greatest Common Factor of 32928 and 32941?

Greatest common factor (GCF) of 32928 and 32941 is 1.

GCF(32928,32941) = 1

We will now calculate the prime factors of 32928 and 32941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32928 and 32941.

How to find the GCF of 32928 and 32941?

We will first find the prime factorization of 32928 and 32941. After we will calculate the factors of 32928 and 32941 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 32941

Prime factors of 32941 are 32941. Prime factorization of 32941 in exponential form is:

32941 = 32941¹

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 32941

List of positive integer factors of 32941 that divides 32928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32928 and 32941. The biggest common factor number is the GCF number.
So the greatest common factor 32928 and 32941 is 1.

Also check out the Least Common Multiple of 32928 and 32941