What is the Greatest Common Factor of 6517 and 6531?

Greatest common factor (GCF) of 6517 and 6531 is 7.

GCF(6517,6531) = 7

We will now calculate the prime factors of 6517 and 6531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6517 and 6531.

How to find the GCF of 6517 and 6531?

We will first find the prime factorization of 6517 and 6531. After we will calculate the factors of 6517 and 6531 and find the biggest common factor number .

Step-1: Prime Factorization of 6517

Prime factors of 6517 are 7, 19. Prime factorization of 6517 in exponential form is:

6517 = 7³ × 19¹

Step-2: Prime Factorization of 6531

Prime factors of 6531 are 3, 7, 311. Prime factorization of 6531 in exponential form is:

6531 = 3¹ × 7¹ × 311¹

Step-3: Factors of 6517

List of positive integer factors of 6517 that divides 6517 without a remainder.

1, 7, 19, 49, 133, 343, 931

Step-4: Factors of 6531

List of positive integer factors of 6531 that divides 6517 without a remainder.

1, 3, 7, 21, 311, 933, 2177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6517 and 6531. The biggest common factor number is the GCF number.
So the greatest common factor 6517 and 6531 is 7.

Also check out the Least Common Multiple of 6517 and 6531