What is the Greatest Common Factor of 6514 and 6528?

Greatest common factor (GCF) of 6514 and 6528 is 2.

GCF(6514,6528) = 2

We will now calculate the prime factors of 6514 and 6528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6514 and 6528.

How to find the GCF of 6514 and 6528?

We will first find the prime factorization of 6514 and 6528. After we will calculate the factors of 6514 and 6528 and find the biggest common factor number .

Step-1: Prime Factorization of 6514

Prime factors of 6514 are 2, 3257. Prime factorization of 6514 in exponential form is:

6514 = 2¹ × 3257¹

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 6514

List of positive integer factors of 6514 that divides 6514 without a remainder.

1, 2, 3257

Step-4: Factors of 6528

List of positive integer factors of 6528 that divides 6514 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 6514 and 6528. The biggest common factor number is the GCF number.
So the greatest common factor 6514 and 6528 is 2.

Also check out the Least Common Multiple of 6514 and 6528