What is the Greatest Common Factor of 82659 and 82677?

Greatest common factor (GCF) of 82659 and 82677 is 3.

GCF(82659,82677) = 3

We will now calculate the prime factors of 82659 and 82677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82659 and 82677.

How to find the GCF of 82659 and 82677?

We will first find the prime factorization of 82659 and 82677. After we will calculate the factors of 82659 and 82677 and find the biggest common factor number .

Step-1: Prime Factorization of 82659

Prime factors of 82659 are 3, 59, 467. Prime factorization of 82659 in exponential form is:

82659 = 3¹ × 59¹ × 467¹

Step-2: Prime Factorization of 82677

Prime factors of 82677 are 3, 7, 31, 127. Prime factorization of 82677 in exponential form is:

82677 = 3¹ × 7¹ × 31¹ × 127¹

Step-3: Factors of 82659

List of positive integer factors of 82659 that divides 82659 without a remainder.

1, 3, 59, 177, 467, 1401, 27553

Step-4: Factors of 82677

List of positive integer factors of 82677 that divides 82659 without a remainder.

1, 3, 7, 21, 31, 93, 127, 217, 381, 651, 889, 2667, 3937, 11811, 27559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82659 and 82677. The biggest common factor number is the GCF number.
So the greatest common factor 82659 and 82677 is 3.

Also check out the Least Common Multiple of 82659 and 82677