Greatest Common Factor of 2560 and 2564

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 2560, 2564 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2560 and 2564 is 4.

GCF(2560,2564) = 4

GCF of 2560 and 2564

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

GCF of:
and

Greatest Common Factor of 2560 and 2564

GCF of 2560 and 2564 is 4

Prime Factorization of 2560


2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 2560 are 2,5. Prime factorization of 2560 in exponential form is:

2560 = 29×51

Prime Factorization of 2564


2 2564
2 1282
641 641
1

Prime factors of 2564 are 2,641. Prime factorization of 2564 in exponential form is:

2564 = 22×6411

∴ So by taking common prime factors GCF of 2560 and 2564 is 4

Greatest Common Factor of 2560 and 2564 by matching factors method

Factors of 2560

List of positive integer factors of 2560 that divides 2560 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560

Factors of 2564

List of positive integer factors of 2564 that divides 2564 without a remainder.

1,2,4,641,1282,2564

Greatest Common Factor

We found the factors and prime factorization of 2560 and 2564. The biggest common factor number is the GCF number.
So the greatest common factor 2560 and 2564 is 4.

Also check out the Least Common Multiple of 2560 and 2564

Properties of GCF 2560 and 2564

(i) The GCF of 2560 and 2564 is associative

GCF of 2560 and 2564 = GCF of 2564 and 2560

Related Greatest Common Factor of 2560

Related Greatest Common Factor of 2564

Frequently Asked Questions on GCF of 2560 and 2564

1. What is the GCF of 2560 and 2564?

Answer: GCF of 2560 and 2564 is 4.

2. What are the Factors of 2560?

Answer: Factors of 2560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560. There are 20 integers that are factors of 2560. The greatest factor of 2560 is 2560.

3. What are the Factors of 2564?

Answer: Factors of 2564 are 1, 2, 4, 641, 1282, 2564. There are 6 integers that are factors of 2564. The greatest factor of 2564 is 2564.

4. How to Find the GCF of 2560 and 2564?

Answer:

Greatest Common Factor of 2560 and 2564 = 4

Step 1: Find the prime factorization of 2560

2560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 2564

2564 = 2 x 2 x 641

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 2560 and 2564 is 4