What is the Greatest Common Factor of 6517 and 6532?

Greatest common factor (GCF) of 6517 and 6532 is 1.

GCF(6517,6532) = 1

We will now calculate the prime factors of 6517 and 6532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6517 and 6532.

How to find the GCF of 6517 and 6532?

We will first find the prime factorization of 6517 and 6532. After we will calculate the factors of 6517 and 6532 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 6532

Prime factors of 6532 are 2, 23, 71. Prime factorization of 6532 in exponential form is:

6532 = 2² × 23¹ × 71¹

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 6532

List of positive integer factors of 6532 that divides 6517 without a remainder.

1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6517 and 6532. The biggest common factor number is the GCF number.
So the greatest common factor 6517 and 6532 is 1.

Also check out the Least Common Multiple of 6517 and 6532