What is the Greatest Common Factor of 517 and 527?

Greatest common factor (GCF) of 517 and 527 is 1.

GCF(517,527) = 1

We will now calculate the prime factors of 517 and 527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 517 and 527.

How to find the GCF of 517 and 527?

We will first find the prime factorization of 517 and 527. After we will calculate the factors of 517 and 527 and find the biggest common factor number .

Step-1: Prime Factorization of 517

Prime factors of 517 are 11, 47. Prime factorization of 517 in exponential form is:

517 = 11¹ × 47¹

Step-2: Prime Factorization of 527

Prime factors of 527 are 17, 31. Prime factorization of 527 in exponential form is:

527 = 17¹ × 31¹

Step-3: Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1, 11, 47

Step-4: Factors of 527

List of positive integer factors of 527 that divides 517 without a remainder.

1, 17, 31

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 517 and 527. The biggest common factor number is the GCF number.
So the greatest common factor 517 and 527 is 1.

Also check out the Least Common Multiple of 517 and 527