What is the Greatest Common Factor of 72517 and 72536?

Greatest common factor (GCF) of 72517 and 72536 is 1.

GCF(72517,72536) = 1

We will now calculate the prime factors of 72517 and 72536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72517 and 72536.

How to find the GCF of 72517 and 72536?

We will first find the prime factorization of 72517 and 72536. After we will calculate the factors of 72517 and 72536 and find the biggest common factor number .

Step-1: Prime Factorization of 72517

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

72517 = 127¹ × 571¹

Step-2: Prime Factorization of 72536

Prime factors of 72536 are 2, 9067. Prime factorization of 72536 in exponential form is:

72536 = 2³ × 9067¹

Step-3: Factors of 72517

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

1, 127, 571

Step-4: Factors of 72536

List of positive integer factors of 72536 that divides 72517 without a remainder.

1, 2, 4, 8, 9067, 18134, 36268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72517 and 72536. The biggest common factor number is the GCF number.
So the greatest common factor 72517 and 72536 is 1.

Also check out the Least Common Multiple of 72517 and 72536