What is the Greatest Common Factor of 28971 and 28979?

Greatest common factor (GCF) of 28971 and 28979 is 1.

GCF(28971,28979) = 1

We will now calculate the prime factors of 28971 and 28979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28971 and 28979.

How to find the GCF of 28971 and 28979?

We will first find the prime factorization of 28971 and 28979. After we will calculate the factors of 28971 and 28979 and find the biggest common factor number .

Step-1: Prime Factorization of 28971

Prime factors of 28971 are 3, 29, 37. Prime factorization of 28971 in exponential form is:

28971 = 3³ × 29¹ × 37¹

Step-2: Prime Factorization of 28979

Prime factors of 28979 are 28979. Prime factorization of 28979 in exponential form is:

28979 = 28979¹

Step-3: Factors of 28971

List of positive integer factors of 28971 that divides 28971 without a remainder.

1, 3, 9, 27, 29, 37, 87, 111, 261, 333, 783, 999, 1073, 3219, 9657

Step-4: Factors of 28979

List of positive integer factors of 28979 that divides 28971 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28971 and 28979. The biggest common factor number is the GCF number.
So the greatest common factor 28971 and 28979 is 1.

Also check out the Least Common Multiple of 28971 and 28979