What is the Greatest Common Factor of 82676 and 82687?

Greatest common factor (GCF) of 82676 and 82687 is 11.

GCF(82676,82687) = 11

We will now calculate the prime factors of 82676 and 82687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82676 and 82687.

How to find the GCF of 82676 and 82687?

We will first find the prime factorization of 82676 and 82687. After we will calculate the factors of 82676 and 82687 and find the biggest common factor number .

Step-1: Prime Factorization of 82676

Prime factors of 82676 are 2, 11, 1879. Prime factorization of 82676 in exponential form is:

82676 = 2² × 11¹ × 1879¹

Step-2: Prime Factorization of 82687

Prime factors of 82687 are 11, 7517. Prime factorization of 82687 in exponential form is:

82687 = 11¹ × 7517¹

Step-3: Factors of 82676

List of positive integer factors of 82676 that divides 82676 without a remainder.

1, 2, 4, 11, 22, 44, 1879, 3758, 7516, 20669, 41338

Step-4: Factors of 82687

List of positive integer factors of 82687 that divides 82676 without a remainder.

1, 11, 7517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82676 and 82687. The biggest common factor number is the GCF number.
So the greatest common factor 82676 and 82687 is 11.

Also check out the Least Common Multiple of 82676 and 82687