What is the Greatest Common Factor of 82672 and 82676?

Greatest common factor (GCF) of 82672 and 82676 is 4.

GCF(82672,82676) = 4

We will now calculate the prime factors of 82672 and 82676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82672 and 82676.

How to find the GCF of 82672 and 82676?

We will first find the prime factorization of 82672 and 82676. After we will calculate the factors of 82672 and 82676 and find the biggest common factor number .

Step-1: Prime Factorization of 82672

Prime factors of 82672 are 2, 5167. Prime factorization of 82672 in exponential form is:

82672 = 2⁴ × 5167¹

Step-2: 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-3: Factors of 82672

List of positive integer factors of 82672 that divides 82672 without a remainder.

1, 2, 4, 8, 16, 5167, 10334, 20668, 41336

Step-4: Factors of 82676

List of positive integer factors of 82676 that divides 82672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82672 and 82676. The biggest common factor number is the GCF number.
So the greatest common factor 82672 and 82676 is 4.

Also check out the Least Common Multiple of 82672 and 82676