What is the Greatest Common Factor of 28928 and 28941?

Greatest common factor (GCF) of 28928 and 28941 is 1.

GCF(28928,28941) = 1

We will now calculate the prime factors of 28928 and 28941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28928 and 28941.

How to find the GCF of 28928 and 28941?

We will first find the prime factorization of 28928 and 28941. After we will calculate the factors of 28928 and 28941 and find the biggest common factor number .

Step-1: Prime Factorization of 28928

Prime factors of 28928 are 2, 113. Prime factorization of 28928 in exponential form is:

28928 = 2⁸ × 113¹

Step-2: Prime Factorization of 28941

Prime factors of 28941 are 3, 11, 877. Prime factorization of 28941 in exponential form is:

28941 = 3¹ × 11¹ × 877¹

Step-3: Factors of 28928

List of positive integer factors of 28928 that divides 28928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 128, 226, 256, 452, 904, 1808, 3616, 7232, 14464

Step-4: Factors of 28941

List of positive integer factors of 28941 that divides 28928 without a remainder.

1, 3, 11, 33, 877, 2631, 9647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28928 and 28941. The biggest common factor number is the GCF number.
So the greatest common factor 28928 and 28941 is 1.

Also check out the Least Common Multiple of 28928 and 28941