What is the Greatest Common Factor of 82607 and 82621?

Greatest common factor (GCF) of 82607 and 82621 is 7.

GCF(82607,82621) = 7

We will now calculate the prime factors of 82607 and 82621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82607 and 82621.

How to find the GCF of 82607 and 82621?

We will first find the prime factorization of 82607 and 82621. After we will calculate the factors of 82607 and 82621 and find the biggest common factor number .

Step-1: Prime Factorization of 82607

Prime factors of 82607 are 7, 11801. Prime factorization of 82607 in exponential form is:

82607 = 7¹ × 11801¹

Step-2: Prime Factorization of 82621

Prime factors of 82621 are 7, 11, 29, 37. Prime factorization of 82621 in exponential form is:

82621 = 7¹ × 11¹ × 29¹ × 37¹

Step-3: Factors of 82607

List of positive integer factors of 82607 that divides 82607 without a remainder.

1, 7, 11801

Step-4: Factors of 82621

List of positive integer factors of 82621 that divides 82607 without a remainder.

1, 7, 11, 29, 37, 77, 203, 259, 319, 407, 1073, 2233, 2849, 7511, 11803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82607 and 82621. The biggest common factor number is the GCF number.
So the greatest common factor 82607 and 82621 is 7.

Also check out the Least Common Multiple of 82607 and 82621