Greatest Common Factor of 6528 and 6536

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 6528, 6536 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6528 and 6536 is 8.

GCF(6528,6536) = 8

GCF of 6528 and 6536

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

GCF of:
and

Greatest Common Factor of 6528 and 6536

GCF of 6528 and 6536 is 8

Prime Factorization of 6528


2 6528
2 3264
2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

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

6528 = 27×31×171

Prime Factorization of 6536


2 6536
2 3268
2 1634
19 817
43 43
1

Prime factors of 6536 are 2,19,43. Prime factorization of 6536 in exponential form is:

6536 = 23×191×431

∴ So by taking common prime factors GCF of 6528 and 6536 is 8

Greatest Common Factor of 6528 and 6536 by matching factors method

Factors of 6528

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

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528

Factors of 6536

List of positive integer factors of 6536 that divides 6536 without a remainder.

1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536

Greatest Common Factor

We found the factors and prime factorization of 6528 and 6536. The biggest common factor number is the GCF number.
So the greatest common factor 6528 and 6536 is 8.

Also check out the Least Common Multiple of 6528 and 6536

Properties of GCF 6528 and 6536

(i) The GCF of 6528 and 6536 is associative

GCF of 6528 and 6536 = GCF of 6536 and 6528

Related Greatest Common Factor of 6528

Related Greatest Common Factor of 6536

Frequently Asked Questions on GCF of 6528 and 6536

1. What is the GCF of 6528 and 6536?

Answer: GCF of 6528 and 6536 is 8.

2. What are the Factors of 6528?

Answer: Factors of 6528 are 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, 6528. There are 32 integers that are factors of 6528. The greatest factor of 6528 is 6528.

3. What are the Factors of 6536?

Answer: Factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536. There are 16 integers that are factors of 6536. The greatest factor of 6536 is 6536.

4. How to Find the GCF of 6528 and 6536?

Answer:

Greatest Common Factor of 6528 and 6536 = 8

Step 1: Find the prime factorization of 6528

6528 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17

Step 2: Find the prime factorization of 6536

6536 = 2 x 2 x 2 x 19 x 43

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 6528 and 6536 is 8