Greatest Common Factor of 2560 and 2567

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, 2567 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2560 and 2567 is 1.

GCF(2560,2567) = 1

GCF of 2560 and 2567

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

GCF of:
and

Greatest Common Factor of 2560 and 2567

GCF of 2560 and 2567 is 1

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 2567


17 2567
151 151
1

Prime factors of 2567 are 17,151. Prime factorization of 2567 in exponential form is:

2567 = 171×1511

∴ So by taking common prime factors GCF of 2560 and 2567 is 1

Greatest Common Factor of 2560 and 2567 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 2567

List of positive integer factors of 2567 that divides 2567 without a remainder.

1,17,151,2567

Greatest Common Factor

We found the factors and prime factorization of 2560 and 2567. The biggest common factor number is the GCF number.
So the greatest common factor 2560 and 2567 is 1.

Also check out the Least Common Multiple of 2560 and 2567

Properties of GCF 2560 and 2567

(i) The GCF of 2560 and 2567 is associative

GCF of 2560 and 2567 = GCF of 2567 and 2560

Related Greatest Common Factor of 2560

Related Greatest Common Factor of 2567

Frequently Asked Questions on GCF of 2560 and 2567

1. What is the GCF of 2560 and 2567?

Answer: GCF of 2560 and 2567 is 1.

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 2567?

Answer: Factors of 2567 are 1, 17, 151, 2567. There are 4 integers that are factors of 2567. The greatest factor of 2567 is 2567.

4. How to Find the GCF of 2560 and 2567?

Answer:

Greatest Common Factor of 2560 and 2567 = 1

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 2567

2567 = 17 x 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2560 and 2567 is 1