Greatest Common Factor of 2552 and 2558

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, 2558 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2552 and 2558 is 2.

GCF(2552,2558) = 2

GCF of 2552 and 2558

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

GCF of:
and

Greatest Common Factor of 2552 and 2558

GCF of 2552 and 2558 is 2

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 2558


2 2558
1279 1279
1

Prime factors of 2558 are 2,1279. Prime factorization of 2558 in exponential form is:

2558 = 21×12791

∴ So by taking common prime factors GCF of 2552 and 2558 is 2

Greatest Common Factor of 2552 and 2558 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 2558

List of positive integer factors of 2558 that divides 2558 without a remainder.

1,2,1279,2558

Greatest Common Factor

We found the factors and prime factorization of 2552 and 2558. The biggest common factor number is the GCF number.
So the greatest common factor 2552 and 2558 is 2.

Also check out the Least Common Multiple of 2552 and 2558

Properties of GCF 2552 and 2558

(i) The GCF of 2552 and 2558 is associative

GCF of 2552 and 2558 = GCF of 2558 and 2552

Related Greatest Common Factor of 2552

Related Greatest Common Factor of 2558

Frequently Asked Questions on GCF of 2552 and 2558

1. What is the GCF of 2552 and 2558?

Answer: GCF of 2552 and 2558 is 2.

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 2558?

Answer: Factors of 2558 are 1, 2, 1279, 2558. There are 4 integers that are factors of 2558. The greatest factor of 2558 is 2558.

4. How to Find the GCF of 2552 and 2558?

Answer:

Greatest Common Factor of 2552 and 2558 = 2

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 2558

2558 = 2 x 1279

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2552 and 2558 is 2