What is the Greatest Common Factor of 28971 and 28983?

Greatest common factor (GCF) of 28971 and 28983 is 3.

GCF(28971,28983) = 3

We will now calculate the prime factors of 28971 and 28983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28971 and 28983.

How to find the GCF of 28971 and 28983?

We will first find the prime factorization of 28971 and 28983. After we will calculate the factors of 28971 and 28983 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 28983

Prime factors of 28983 are 3, 9661. Prime factorization of 28983 in exponential form is:

28983 = 3¹ × 9661¹

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 28983

List of positive integer factors of 28983 that divides 28971 without a remainder.

1, 3, 9661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28971 and 28983. The biggest common factor number is the GCF number.
So the greatest common factor 28971 and 28983 is 3.

Also check out the Least Common Multiple of 28971 and 28983