What is the Greatest Common Factor of 82508 and 82520?

Greatest common factor (GCF) of 82508 and 82520 is 4.

GCF(82508,82520) = 4

We will now calculate the prime factors of 82508 and 82520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82508 and 82520.

How to find the GCF of 82508 and 82520?

We will first find the prime factorization of 82508 and 82520. After we will calculate the factors of 82508 and 82520 and find the biggest common factor number .

Step-1: Prime Factorization of 82508

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

82508 = 2² × 20627¹

Step-2: Prime Factorization of 82520

Prime factors of 82520 are 2, 5, 2063. Prime factorization of 82520 in exponential form is:

82520 = 2³ × 5¹ × 2063¹

Step-3: Factors of 82508

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

1, 2, 4, 20627, 41254

Step-4: Factors of 82520

List of positive integer factors of 82520 that divides 82508 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2063, 4126, 8252, 10315, 16504, 20630, 41260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82508 and 82520. The biggest common factor number is the GCF number.
So the greatest common factor 82508 and 82520 is 4.

Also check out the Least Common Multiple of 82508 and 82520