Greatest Common Factor of 2516 and 2518

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 2516, 2518 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2516 and 2518 is 2.

GCF(2516,2518) = 2

GCF of 2516 and 2518

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

GCF of:
and

Greatest Common Factor of 2516 and 2518

GCF of 2516 and 2518 is 2

Prime Factorization of 2516


2 2516
2 1258
17 629
37 37
1

Prime factors of 2516 are 2,17,37. Prime factorization of 2516 in exponential form is:

2516 = 22×171×371

Prime Factorization of 2518


2 2518
1259 1259
1

Prime factors of 2518 are 2,1259. Prime factorization of 2518 in exponential form is:

2518 = 21×12591

∴ So by taking common prime factors GCF of 2516 and 2518 is 2

Greatest Common Factor of 2516 and 2518 by matching factors method

Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1,2,4,17,34,37,68,74,148,629,1258,2516

Factors of 2518

List of positive integer factors of 2518 that divides 2518 without a remainder.

1,2,1259,2518

Greatest Common Factor

We found the factors and prime factorization of 2516 and 2518. The biggest common factor number is the GCF number.
So the greatest common factor 2516 and 2518 is 2.

Also check out the Least Common Multiple of 2516 and 2518

Properties of GCF 2516 and 2518

(i) The GCF of 2516 and 2518 is associative

GCF of 2516 and 2518 = GCF of 2518 and 2516

Related Greatest Common Factor of 2516

Related Greatest Common Factor of 2518

Frequently Asked Questions on GCF of 2516 and 2518

1. What is the GCF of 2516 and 2518?

Answer: GCF of 2516 and 2518 is 2.

2. What are the Factors of 2516?

Answer: Factors of 2516 are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516. There are 12 integers that are factors of 2516. The greatest factor of 2516 is 2516.

3. What are the Factors of 2518?

Answer: Factors of 2518 are 1, 2, 1259, 2518. There are 4 integers that are factors of 2518. The greatest factor of 2518 is 2518.

4. How to Find the GCF of 2516 and 2518?

Answer:

Greatest Common Factor of 2516 and 2518 = 2

Step 1: Find the prime factorization of 2516

2516 = 2 x 2 x 17 x 37

Step 2: Find the prime factorization of 2518

2518 = 2 x 1259

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 2516 and 2518 is 2