Greatest Common Factor of 2511 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 2511, 2518 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2511 and 2518 is 1.

GCF(2511,2518) = 1

GCF of 2511 and 2518

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

GCF of:
and

Greatest Common Factor of 2511 and 2518

GCF of 2511 and 2518 is 1

Prime Factorization of 2511


3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 2511 are 3,31. Prime factorization of 2511 in exponential form is:

2511 = 34×311

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 2511 and 2518 is 1

Greatest Common Factor of 2511 and 2518 by matching factors method

Factors of 2511

List of positive integer factors of 2511 that divides 2511 without a remainder.

1,3,9,27,31,81,93,279,837,2511

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 2511 and 2518. The biggest common factor number is the GCF number.
So the greatest common factor 2511 and 2518 is 1.

Also check out the Least Common Multiple of 2511 and 2518

Properties of GCF 2511 and 2518

(i) The GCF of 2511 and 2518 is associative

GCF of 2511 and 2518 = GCF of 2518 and 2511

Frequently Asked Questions on GCF of 2511 and 2518

1. What is the GCF of 2511 and 2518?

Answer: GCF of 2511 and 2518 is 1.

2. What are the Factors of 2511?

Answer: Factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511. There are 10 integers that are factors of 2511. The greatest factor of 2511 is 2511.

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 2511 and 2518?

Answer:

Greatest Common Factor of 2511 and 2518 = 1

Step 1: Find the prime factorization of 2511

2511 = 3 x 3 x 3 x 3 x 31

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 = = 1

Step 4: Therefore, the greatest common factor of 2511 and 2518 is 1