What is the Greatest Common Factor of 28941 and 28959?

Greatest common factor (GCF) of 28941 and 28959 is 3.

GCF(28941,28959) = 3

We will now calculate the prime factors of 28941 and 28959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28941 and 28959.

How to find the GCF of 28941 and 28959?

We will first find the prime factorization of 28941 and 28959. After we will calculate the factors of 28941 and 28959 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28959

Prime factors of 28959 are 3, 7, 197. Prime factorization of 28959 in exponential form is:

28959 = 3¹ × 7² × 197¹

Step-3: Factors of 28941

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

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

Step-4: Factors of 28959

List of positive integer factors of 28959 that divides 28941 without a remainder.

1, 3, 7, 21, 49, 147, 197, 591, 1379, 4137, 9653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28941 and 28959. The biggest common factor number is the GCF number.
So the greatest common factor 28941 and 28959 is 3.

Also check out the Least Common Multiple of 28941 and 28959