What is the Greatest Common Factor of 82614 and 82621?

Greatest common factor (GCF) of 82614 and 82621 is 7.

GCF(82614,82621) = 7

We will now calculate the prime factors of 82614 and 82621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82614 and 82621.

How to find the GCF of 82614 and 82621?

We will first find the prime factorization of 82614 and 82621. After we will calculate the factors of 82614 and 82621 and find the biggest common factor number .

Step-1: Prime Factorization of 82614

Prime factors of 82614 are 2, 3, 7, 281. Prime factorization of 82614 in exponential form is:

82614 = 2¹ × 3¹ × 7² × 281¹

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 82614

List of positive integer factors of 82614 that divides 82614 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 281, 294, 562, 843, 1686, 1967, 3934, 5901, 11802, 13769, 27538, 41307

Step-4: Factors of 82621

List of positive integer factors of 82621 that divides 82614 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 82614 and 82621. The biggest common factor number is the GCF number.
So the greatest common factor 82614 and 82621 is 7.

Also check out the Least Common Multiple of 82614 and 82621