What is the Greatest Common Factor of 82640 and 82658?

Greatest common factor (GCF) of 82640 and 82658 is 2.

GCF(82640,82658) = 2

We will now calculate the prime factors of 82640 and 82658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82640 and 82658.

How to find the GCF of 82640 and 82658?

We will first find the prime factorization of 82640 and 82658. After we will calculate the factors of 82640 and 82658 and find the biggest common factor number .

Step-1: Prime Factorization of 82640

Prime factors of 82640 are 2, 5, 1033. Prime factorization of 82640 in exponential form is:

82640 = 2⁴ × 5¹ × 1033¹

Step-2: 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-3: Factors of 82640

List of positive integer factors of 82640 that divides 82640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1033, 2066, 4132, 5165, 8264, 10330, 16528, 20660, 41320

Step-4: Factors of 82658

List of positive integer factors of 82658 that divides 82640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82640 and 82658. The biggest common factor number is the GCF number.
So the greatest common factor 82640 and 82658 is 2.

Also check out the Least Common Multiple of 82640 and 82658