What is the Greatest Common Factor of 28959 and 28973?

Greatest common factor (GCF) of 28959 and 28973 is 7.

GCF(28959,28973) = 7

We will now calculate the prime factors of 28959 and 28973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28959 and 28973.

How to find the GCF of 28959 and 28973?

We will first find the prime factorization of 28959 and 28973. After we will calculate the factors of 28959 and 28973 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28973

Prime factors of 28973 are 7, 4139. Prime factorization of 28973 in exponential form is:

28973 = 7¹ × 4139¹

Step-3: Factors of 28959

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

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

Step-4: Factors of 28973

List of positive integer factors of 28973 that divides 28959 without a remainder.

1, 7, 4139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28959 and 28973. The biggest common factor number is the GCF number.
So the greatest common factor 28959 and 28973 is 7.

Also check out the Least Common Multiple of 28959 and 28973