What is the Greatest Common Factor of 72508 and 72517?

Greatest common factor (GCF) of 72508 and 72517 is 1.

GCF(72508,72517) = 1

We will now calculate the prime factors of 72508 and 72517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72508 and 72517.

How to find the GCF of 72508 and 72517?

We will first find the prime factorization of 72508 and 72517. After we will calculate the factors of 72508 and 72517 and find the biggest common factor number .

Step-1: Prime Factorization of 72508

Prime factors of 72508 are 2, 18127. Prime factorization of 72508 in exponential form is:

72508 = 2² × 18127¹

Step-2: Prime Factorization of 72517

Prime factors of 72517 are 127, 571. Prime factorization of 72517 in exponential form is:

72517 = 127¹ × 571¹

Step-3: Factors of 72508

List of positive integer factors of 72508 that divides 72508 without a remainder.

1, 2, 4, 18127, 36254

Step-4: Factors of 72517

List of positive integer factors of 72517 that divides 72508 without a remainder.

1, 127, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72508 and 72517. The biggest common factor number is the GCF number.
So the greatest common factor 72508 and 72517 is 1.

Also check out the Least Common Multiple of 72508 and 72517