What is the Greatest Common Factor of 6514 and 6526?

Greatest common factor (GCF) of 6514 and 6526 is 2.

GCF(6514,6526) = 2

We will now calculate the prime factors of 6514 and 6526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6514 and 6526.

How to find the GCF of 6514 and 6526?

We will first find the prime factorization of 6514 and 6526. After we will calculate the factors of 6514 and 6526 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 6526

Prime factors of 6526 are 2, 13, 251. Prime factorization of 6526 in exponential form is:

6526 = 2¹ × 13¹ × 251¹

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 6526

List of positive integer factors of 6526 that divides 6514 without a remainder.

1, 2, 13, 26, 251, 502, 3263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6514 and 6526. The biggest common factor number is the GCF number.
So the greatest common factor 6514 and 6526 is 2.

Also check out the Least Common Multiple of 6514 and 6526