What is the Greatest Common Factor of 82628 and 82641?

Greatest common factor (GCF) of 82628 and 82641 is 13.

GCF(82628,82641) = 13

We will now calculate the prime factors of 82628 and 82641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82628 and 82641.

How to find the GCF of 82628 and 82641?

We will first find the prime factorization of 82628 and 82641. After we will calculate the factors of 82628 and 82641 and find the biggest common factor number .

Step-1: Prime Factorization of 82628

Prime factors of 82628 are 2, 7, 13, 227. Prime factorization of 82628 in exponential form is:

82628 = 2² × 7¹ × 13¹ × 227¹

Step-2: Prime Factorization of 82641

Prime factors of 82641 are 3, 13, 163. Prime factorization of 82641 in exponential form is:

82641 = 3¹ × 13² × 163¹

Step-3: Factors of 82628

List of positive integer factors of 82628 that divides 82628 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 227, 364, 454, 908, 1589, 2951, 3178, 5902, 6356, 11804, 20657, 41314

Step-4: Factors of 82641

List of positive integer factors of 82641 that divides 82628 without a remainder.

1, 3, 13, 39, 163, 169, 489, 507, 2119, 6357, 27547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82628 and 82641. The biggest common factor number is the GCF number.
So the greatest common factor 82628 and 82641 is 13.

Also check out the Least Common Multiple of 82628 and 82641