What is the Greatest Common Factor of 82621 and 82635?

Greatest common factor (GCF) of 82621 and 82635 is 7.

GCF(82621,82635) = 7

We will now calculate the prime factors of 82621 and 82635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82621 and 82635.

How to find the GCF of 82621 and 82635?

We will first find the prime factorization of 82621 and 82635. After we will calculate the factors of 82621 and 82635 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 82635

Prime factors of 82635 are 3, 5, 7, 787. Prime factorization of 82635 in exponential form is:

82635 = 3¹ × 5¹ × 7¹ × 787¹

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 82635

List of positive integer factors of 82635 that divides 82621 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 787, 2361, 3935, 5509, 11805, 16527, 27545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82621 and 82635. The biggest common factor number is the GCF number.
So the greatest common factor 82621 and 82635 is 7.

Also check out the Least Common Multiple of 82621 and 82635