Greatest Common Factor of 6508 and 6514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6508, 6514 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6508 and 6514 is 2.

GCF(6508,6514) = 2

GCF of 6508 and 6514

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6508 and 6514

GCF of 6508 and 6514 is 2

Prime Factorization of 6508


2 6508
2 3254
1627 1627
1

Prime factors of 6508 are 2,1627. Prime factorization of 6508 in exponential form is:

6508 = 22×16271

Prime Factorization of 6514


2 6514
3257 3257
1

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

6514 = 21×32571

∴ So by taking common prime factors GCF of 6508 and 6514 is 2

Greatest Common Factor of 6508 and 6514 by matching factors method

Factors of 6508

List of positive integer factors of 6508 that divides 6508 without a remainder.

1,2,4,1627,3254,6508

Factors of 6514

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

1,2,3257,6514

Greatest Common Factor

We found the factors and prime factorization of 6508 and 6514. The biggest common factor number is the GCF number.
So the greatest common factor 6508 and 6514 is 2.

Also check out the Least Common Multiple of 6508 and 6514

Properties of GCF 6508 and 6514

(i) The GCF of 6508 and 6514 is associative

GCF of 6508 and 6514 = GCF of 6514 and 6508

Related Greatest Common Factor of 6508

Related Greatest Common Factor of 6514

Frequently Asked Questions on GCF of 6508 and 6514

1. What is the GCF of 6508 and 6514?

Answer: GCF of 6508 and 6514 is 2.

2. What are the Factors of 6508?

Answer: Factors of 6508 are 1, 2, 4, 1627, 3254, 6508. There are 6 integers that are factors of 6508. The greatest factor of 6508 is 6508.

3. What are the Factors of 6514?

Answer: Factors of 6514 are 1, 2, 3257, 6514. There are 4 integers that are factors of 6514. The greatest factor of 6514 is 6514.

4. How to Find the GCF of 6508 and 6514?

Answer:

Greatest Common Factor of 6508 and 6514 = 2

Step 1: Find the prime factorization of 6508

6508 = 2 x 2 x 1627

Step 2: Find the prime factorization of 6514

6514 = 2 x 3257

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 6508 and 6514 is 2