What is the Greatest Common Factor of 6511 and 6528?

Greatest common factor (GCF) of 6511 and 6528 is 17.

GCF(6511,6528) = 17

We will now calculate the prime factors of 6511 and 6528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6511 and 6528.

How to find the GCF of 6511 and 6528?

We will first find the prime factorization of 6511 and 6528. After we will calculate the factors of 6511 and 6528 and find the biggest common factor number .

Step-1: Prime Factorization of 6511

Prime factors of 6511 are 17, 383. Prime factorization of 6511 in exponential form is:

6511 = 17¹ × 383¹

Step-2: Prime Factorization of 6528

Prime factors of 6528 are 2, 3, 17. Prime factorization of 6528 in exponential form is:

6528 = 2⁷ × 3¹ × 17¹

Step-3: Factors of 6511

List of positive integer factors of 6511 that divides 6511 without a remainder.

1, 17, 383

Step-4: Factors of 6528

List of positive integer factors of 6528 that divides 6511 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6511 and 6528. The biggest common factor number is the GCF number.
So the greatest common factor 6511 and 6528 is 17.

Also check out the Least Common Multiple of 6511 and 6528