What is the Greatest Common Factor of 6517 and 6524?

Greatest common factor (GCF) of 6517 and 6524 is 7.

GCF(6517,6524) = 7

We will now calculate the prime factors of 6517 and 6524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6517 and 6524.

How to find the GCF of 6517 and 6524?

We will first find the prime factorization of 6517 and 6524. After we will calculate the factors of 6517 and 6524 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 6524

Prime factors of 6524 are 2, 7, 233. Prime factorization of 6524 in exponential form is:

6524 = 2² × 7¹ × 233¹

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 6524

List of positive integer factors of 6524 that divides 6517 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6517 and 6524. The biggest common factor number is the GCF number.
So the greatest common factor 6517 and 6524 is 7.

Also check out the Least Common Multiple of 6517 and 6524