What is the Greatest Common Factor of 82508 and 82517?

Greatest common factor (GCF) of 82508 and 82517 is 1.

GCF(82508,82517) = 1

We will now calculate the prime factors of 82508 and 82517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82508 and 82517.

How to find the GCF of 82508 and 82517?

We will first find the prime factorization of 82508 and 82517. After we will calculate the factors of 82508 and 82517 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 82517

Prime factors of 82517 are 19, 43, 101. Prime factorization of 82517 in exponential form is:

82517 = 19¹ × 43¹ × 101¹

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 82517

List of positive integer factors of 82517 that divides 82508 without a remainder.

1, 19, 43, 101, 817, 1919, 4343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82508 and 82517. The biggest common factor number is the GCF number.
So the greatest common factor 82508 and 82517 is 1.

Also check out the Least Common Multiple of 82508 and 82517