What is the Greatest Common Factor of 82658 and 82662?

Greatest common factor (GCF) of 82658 and 82662 is 2.

GCF(82658,82662) = 2

We will now calculate the prime factors of 82658 and 82662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82658 and 82662.

How to find the GCF of 82658 and 82662?

We will first find the prime factorization of 82658 and 82662. After we will calculate the factors of 82658 and 82662 and find the biggest common factor number .

Step-1: Prime Factorization of 82658

Prime factors of 82658 are 2, 37, 1117. Prime factorization of 82658 in exponential form is:

82658 = 2¹ × 37¹ × 1117¹

Step-2: 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-3: Factors of 82658

List of positive integer factors of 82658 that divides 82658 without a remainder.

1, 2, 37, 74, 1117, 2234, 41329

Step-4: Factors of 82662

List of positive integer factors of 82662 that divides 82658 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82658 and 82662. The biggest common factor number is the GCF number.
So the greatest common factor 82658 and 82662 is 2.

Also check out the Least Common Multiple of 82658 and 82662