Greatest Common Factor of 6536 and 6540

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 6536, 6540 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6536 and 6540 is 4.

GCF(6536,6540) = 4

GCF of 6536 and 6540

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

GCF of:
and

Greatest Common Factor of 6536 and 6540

GCF of 6536 and 6540 is 4

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

Prime Factorization of 6540


2 6540
2 3270
3 1635
5 545
109 109
1

Prime factors of 6540 are 2,3,5,109. Prime factorization of 6540 in exponential form is:

6540 = 22×31×51×1091

∴ So by taking common prime factors GCF of 6536 and 6540 is 4

Greatest Common Factor of 6536 and 6540 by matching factors method

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

Factors of 6540

List of positive integer factors of 6540 that divides 6540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540

Greatest Common Factor

We found the factors and prime factorization of 6536 and 6540. The biggest common factor number is the GCF number.
So the greatest common factor 6536 and 6540 is 4.

Also check out the Least Common Multiple of 6536 and 6540

Properties of GCF 6536 and 6540

(i) The GCF of 6536 and 6540 is associative

GCF of 6536 and 6540 = GCF of 6540 and 6536

Related Greatest Common Factor of 6536

Related Greatest Common Factor of 6540

Frequently Asked Questions on GCF of 6536 and 6540

1. What is the GCF of 6536 and 6540?

Answer: GCF of 6536 and 6540 is 4.

2. 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.

3. What are the Factors of 6540?

Answer: Factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540. There are 24 integers that are factors of 6540. The greatest factor of 6540 is 6540.

4. How to Find the GCF of 6536 and 6540?

Answer:

Greatest Common Factor of 6536 and 6540 = 4

Step 1: Find the prime factorization of 6536

6536 = 2 x 2 x 2 x 19 x 43

Step 2: Find the prime factorization of 6540

6540 = 2 x 2 x 3 x 5 x 109

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6536 and 6540 is 4