What is the Greatest Common Factor of 82644 and 82659?

Greatest common factor (GCF) of 82644 and 82659 is 3.

GCF(82644,82659) = 3

We will now calculate the prime factors of 82644 and 82659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82644 and 82659.

How to find the GCF of 82644 and 82659?

We will first find the prime factorization of 82644 and 82659. After we will calculate the factors of 82644 and 82659 and find the biggest common factor number .

Step-1: Prime Factorization of 82644

Prime factors of 82644 are 2, 3, 71, 97. Prime factorization of 82644 in exponential form is:

82644 = 2² × 3¹ × 71¹ × 97¹

Step-2: 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-3: Factors of 82644

List of positive integer factors of 82644 that divides 82644 without a remainder.

1, 2, 3, 4, 6, 12, 71, 97, 142, 194, 213, 284, 291, 388, 426, 582, 852, 1164, 6887, 13774, 20661, 27548, 41322

Step-4: Factors of 82659

List of positive integer factors of 82659 that divides 82644 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82644 and 82659. The biggest common factor number is the GCF number.
So the greatest common factor 82644 and 82659 is 3.

Also check out the Least Common Multiple of 82644 and 82659