What is the Greatest Common Factor of 82634 and 82640?

Greatest common factor (GCF) of 82634 and 82640 is 2.

GCF(82634,82640) = 2

We will now calculate the prime factors of 82634 and 82640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82634 and 82640.

How to find the GCF of 82634 and 82640?

We will first find the prime factorization of 82634 and 82640. After we will calculate the factors of 82634 and 82640 and find the biggest common factor number .

Step-1: Prime Factorization of 82634

Prime factors of 82634 are 2, 79, 523. Prime factorization of 82634 in exponential form is:

82634 = 2¹ × 79¹ × 523¹

Step-2: 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-3: Factors of 82634

List of positive integer factors of 82634 that divides 82634 without a remainder.

1, 2, 79, 158, 523, 1046, 41317

Step-4: Factors of 82640

List of positive integer factors of 82640 that divides 82634 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82634 and 82640. The biggest common factor number is the GCF number.
So the greatest common factor 82634 and 82640 is 2.

Also check out the Least Common Multiple of 82634 and 82640