What is the Greatest Common Factor of 82971 and 82977?

Greatest common factor (GCF) of 82971 and 82977 is 3.

GCF(82971,82977) = 3

We will now calculate the prime factors of 82971 and 82977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82971 and 82977.

How to find the GCF of 82971 and 82977?

We will first find the prime factorization of 82971 and 82977. After we will calculate the factors of 82971 and 82977 and find the biggest common factor number .

Step-1: Prime Factorization of 82971

Prime factors of 82971 are 3, 7, 439. Prime factorization of 82971 in exponential form is:

82971 = 3³ × 7¹ × 439¹

Step-2: Prime Factorization of 82977

Prime factors of 82977 are 3, 17, 1627. Prime factorization of 82977 in exponential form is:

82977 = 3¹ × 17¹ × 1627¹

Step-3: Factors of 82971

List of positive integer factors of 82971 that divides 82971 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 439, 1317, 3073, 3951, 9219, 11853, 27657

Step-4: Factors of 82977

List of positive integer factors of 82977 that divides 82971 without a remainder.

1, 3, 17, 51, 1627, 4881, 27659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82971 and 82977. The biggest common factor number is the GCF number.
So the greatest common factor 82971 and 82977 is 3.

Also check out the Least Common Multiple of 82971 and 82977