What is the Greatest Common Factor of 82484 and 82501?

Greatest common factor (GCF) of 82484 and 82501 is 17.

GCF(82484,82501) = 17

We will now calculate the prime factors of 82484 and 82501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82484 and 82501.

How to find the GCF of 82484 and 82501?

We will first find the prime factorization of 82484 and 82501. After we will calculate the factors of 82484 and 82501 and find the biggest common factor number .

Step-1: Prime Factorization of 82484

Prime factors of 82484 are 2, 17, 1213. Prime factorization of 82484 in exponential form is:

82484 = 2² × 17¹ × 1213¹

Step-2: Prime Factorization of 82501

Prime factors of 82501 are 17, 23, 211. Prime factorization of 82501 in exponential form is:

82501 = 17¹ × 23¹ × 211¹

Step-3: Factors of 82484

List of positive integer factors of 82484 that divides 82484 without a remainder.

1, 2, 4, 17, 34, 68, 1213, 2426, 4852, 20621, 41242

Step-4: Factors of 82501

List of positive integer factors of 82501 that divides 82484 without a remainder.

1, 17, 23, 211, 391, 3587, 4853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82484 and 82501. The biggest common factor number is the GCF number.
So the greatest common factor 82484 and 82501 is 17.

Also check out the Least Common Multiple of 82484 and 82501