Greatest Common Factor of 6512 and 6520

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 6512, 6520 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6512 and 6520 is 8.

GCF(6512,6520) = 8

GCF of 6512 and 6520

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

GCF of:
and

Greatest Common Factor of 6512 and 6520

GCF of 6512 and 6520 is 8

Prime Factorization of 6512


2 6512
2 3256
2 1628
2 814
11 407
37 37
1

Prime factors of 6512 are 2,11,37. Prime factorization of 6512 in exponential form is:

6512 = 24×111×371

Prime Factorization of 6520


2 6520
2 3260
2 1630
5 815
163 163
1

Prime factors of 6520 are 2,5,163. Prime factorization of 6520 in exponential form is:

6520 = 23×51×1631

∴ So by taking common prime factors GCF of 6512 and 6520 is 8

Greatest Common Factor of 6512 and 6520 by matching factors method

Factors of 6512

List of positive integer factors of 6512 that divides 6512 without a remainder.

1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520

Greatest Common Factor

We found the factors and prime factorization of 6512 and 6520. The biggest common factor number is the GCF number.
So the greatest common factor 6512 and 6520 is 8.

Also check out the Least Common Multiple of 6512 and 6520

Properties of GCF 6512 and 6520

(i) The GCF of 6512 and 6520 is associative

GCF of 6512 and 6520 = GCF of 6520 and 6512

Related Greatest Common Factor of 6512

Related Greatest Common Factor of 6520

Frequently Asked Questions on GCF of 6512 and 6520

1. What is the GCF of 6512 and 6520?

Answer: GCF of 6512 and 6520 is 8.

2. What are the Factors of 6512?

Answer: Factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512. There are 20 integers that are factors of 6512. The greatest factor of 6512 is 6512.

3. What are the Factors of 6520?

Answer: Factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520. There are 16 integers that are factors of 6520. The greatest factor of 6520 is 6520.

4. How to Find the GCF of 6512 and 6520?

Answer:

Greatest Common Factor of 6512 and 6520 = 8

Step 1: Find the prime factorization of 6512

6512 = 2 x 2 x 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 6520

6520 = 2 x 2 x 2 x 5 x 163

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6512 and 6520 is 8