Greatest Common Factor of 2552 and 2560

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 2552, 2560 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2552 and 2560 is 8.

GCF(2552,2560) = 8

GCF of 2552 and 2560

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

GCF of:
and

Greatest Common Factor of 2552 and 2560

GCF of 2552 and 2560 is 8

Prime Factorization of 2552


2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 2552 are 2,11,29. Prime factorization of 2552 in exponential form is:

2552 = 23×111×291

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

∴ So by taking common prime factors GCF of 2552 and 2560 is 8

Greatest Common Factor of 2552 and 2560 by matching factors method

Factors of 2552

List of positive integer factors of 2552 that divides 2552 without a remainder.

1,2,4,8,11,22,29,44,58,88,116,232,319,638,1276,2552

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

Greatest Common Factor

We found the factors and prime factorization of 2552 and 2560. The biggest common factor number is the GCF number.
So the greatest common factor 2552 and 2560 is 8.

Also check out the Least Common Multiple of 2552 and 2560

Properties of GCF 2552 and 2560

(i) The GCF of 2552 and 2560 is associative

GCF of 2552 and 2560 = GCF of 2560 and 2552

Related Greatest Common Factor of 2552

Related Greatest Common Factor of 2560

Frequently Asked Questions on GCF of 2552 and 2560

1. What is the GCF of 2552 and 2560?

Answer: GCF of 2552 and 2560 is 8.

2. What are the Factors of 2552?

Answer: Factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552. There are 16 integers that are factors of 2552. The greatest factor of 2552 is 2552.

3. 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.

4. How to Find the GCF of 2552 and 2560?

Answer:

Greatest Common Factor of 2552 and 2560 = 8

Step 1: Find the prime factorization of 2552

2552 = 2 x 2 x 2 x 11 x 29

Step 2: 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 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 2552 and 2560 is 8