What is the Greatest Common Factor of 28971 and 28982?

Greatest common factor (GCF) of 28971 and 28982 is 1.

GCF(28971,28982) = 1

We will now calculate the prime factors of 28971 and 28982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28971 and 28982.

How to find the GCF of 28971 and 28982?

We will first find the prime factorization of 28971 and 28982. After we will calculate the factors of 28971 and 28982 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 28982

Prime factors of 28982 are 2, 43, 337. Prime factorization of 28982 in exponential form is:

28982 = 2¹ × 43¹ × 337¹

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 28982

List of positive integer factors of 28982 that divides 28971 without a remainder.

1, 2, 43, 86, 337, 674, 14491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28971 and 28982. The biggest common factor number is the GCF number.
So the greatest common factor 28971 and 28982 is 1.

Also check out the Least Common Multiple of 28971 and 28982