Greatest Common Factor of 6560 and 6564

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 6560, 6564 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6560 and 6564 is 4.

GCF(6560,6564) = 4

GCF of 6560 and 6564

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

GCF of:
and

Greatest Common Factor of 6560 and 6564

GCF of 6560 and 6564 is 4

Prime Factorization of 6560


2 6560
2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 6560 are 2,5,41. Prime factorization of 6560 in exponential form is:

6560 = 25×51×411

Prime Factorization of 6564


2 6564
2 3282
3 1641
547 547
1

Prime factors of 6564 are 2,3,547. Prime factorization of 6564 in exponential form is:

6564 = 22×31×5471

∴ So by taking common prime factors GCF of 6560 and 6564 is 4

Greatest Common Factor of 6560 and 6564 by matching factors method

Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1,2,3,4,6,12,547,1094,1641,2188,3282,6564

Greatest Common Factor

We found the factors and prime factorization of 6560 and 6564. The biggest common factor number is the GCF number.
So the greatest common factor 6560 and 6564 is 4.

Also check out the Least Common Multiple of 6560 and 6564

Properties of GCF 6560 and 6564

(i) The GCF of 6560 and 6564 is associative

GCF of 6560 and 6564 = GCF of 6564 and 6560

Related Greatest Common Factor of 6560

Related Greatest Common Factor of 6564

Frequently Asked Questions on GCF of 6560 and 6564

1. What is the GCF of 6560 and 6564?

Answer: GCF of 6560 and 6564 is 4.

2. What are the Factors of 6560?

Answer: Factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560. There are 24 integers that are factors of 6560. The greatest factor of 6560 is 6560.

3. What are the Factors of 6564?

Answer: Factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564. There are 12 integers that are factors of 6564. The greatest factor of 6564 is 6564.

4. How to Find the GCF of 6560 and 6564?

Answer:

Greatest Common Factor of 6560 and 6564 = 4

Step 1: Find the prime factorization of 6560

6560 = 2 x 2 x 2 x 2 x 2 x 5 x 41

Step 2: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

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 6560 and 6564 is 4