What is the Greatest Common Factor of 82621 and 82627?

Greatest common factor (GCF) of 82621 and 82627 is 1.

GCF(82621,82627) = 1

We will now calculate the prime factors of 82621 and 82627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82621 and 82627.

How to find the GCF of 82621 and 82627?

We will first find the prime factorization of 82621 and 82627. After we will calculate the factors of 82621 and 82627 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82627

Prime factors of 82627 are 53, 1559. Prime factorization of 82627 in exponential form is:

82627 = 53¹ × 1559¹

Step-3: Factors of 82621

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

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

Step-4: Factors of 82627

List of positive integer factors of 82627 that divides 82621 without a remainder.

1, 53, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82621 and 82627. The biggest common factor number is the GCF number.
So the greatest common factor 82621 and 82627 is 1.

Also check out the Least Common Multiple of 82621 and 82627