What is the Greatest Common Factor of 82496 and 82508?

Greatest common factor (GCF) of 82496 and 82508 is 4.

GCF(82496,82508) = 4

We will now calculate the prime factors of 82496 and 82508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82496 and 82508.

How to find the GCF of 82496 and 82508?

We will first find the prime factorization of 82496 and 82508. After we will calculate the factors of 82496 and 82508 and find the biggest common factor number .

Step-1: Prime Factorization of 82496

Prime factors of 82496 are 2, 1289. Prime factorization of 82496 in exponential form is:

82496 = 2⁶ × 1289¹

Step-2: Prime Factorization of 82508

Prime factors of 82508 are 2, 20627. Prime factorization of 82508 in exponential form is:

82508 = 2² × 20627¹

Step-3: Factors of 82496

List of positive integer factors of 82496 that divides 82496 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1289, 2578, 5156, 10312, 20624, 41248

Step-4: Factors of 82508

List of positive integer factors of 82508 that divides 82496 without a remainder.

1, 2, 4, 20627, 41254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82496 and 82508. The biggest common factor number is the GCF number.
So the greatest common factor 82496 and 82508 is 4.

Also check out the Least Common Multiple of 82496 and 82508