What is the Greatest Common Factor of 82662 and 82672?

Greatest common factor (GCF) of 82662 and 82672 is 2.

GCF(82662,82672) = 2

We will now calculate the prime factors of 82662 and 82672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82662 and 82672.

How to find the GCF of 82662 and 82672?

We will first find the prime factorization of 82662 and 82672. After we will calculate the factors of 82662 and 82672 and find the biggest common factor number .

Step-1: Prime Factorization of 82662

Prime factors of 82662 are 2, 3, 23, 599. Prime factorization of 82662 in exponential form is:

82662 = 2¹ × 3¹ × 23¹ × 599¹

Step-2: Prime Factorization of 82672

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

82672 = 2⁴ × 5167¹

Step-3: Factors of 82662

List of positive integer factors of 82662 that divides 82662 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 599, 1198, 1797, 3594, 13777, 27554, 41331

Step-4: Factors of 82672

List of positive integer factors of 82672 that divides 82662 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82662 and 82672. The biggest common factor number is the GCF number.
So the greatest common factor 82662 and 82672 is 2.

Also check out the Least Common Multiple of 82662 and 82672