Greatest Common Factor of 2511 and 2516

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, 2516 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2511 and 2516 is 1.

GCF(2511,2516) = 1

GCF of 2511 and 2516

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

GCF of:
and

Greatest Common Factor of 2511 and 2516

GCF of 2511 and 2516 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 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

∴ So by taking common prime factors GCF of 2511 and 2516 is 1

Greatest Common Factor of 2511 and 2516 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 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

Greatest Common Factor

We found the factors and prime factorization of 2511 and 2516. The biggest common factor number is the GCF number.
So the greatest common factor 2511 and 2516 is 1.

Also check out the Least Common Multiple of 2511 and 2516

Properties of GCF 2511 and 2516

(i) The GCF of 2511 and 2516 is associative

GCF of 2511 and 2516 = GCF of 2516 and 2511

Related Greatest Common Factor of 2511

Related Greatest Common Factor of 2516

Frequently Asked Questions on GCF of 2511 and 2516

1. What is the GCF of 2511 and 2516?

Answer: GCF of 2511 and 2516 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 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.

4. How to Find the GCF of 2511 and 2516?

Answer:

Greatest Common Factor of 2511 and 2516 = 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 2516

2516 = 2 x 2 x 17 x 37

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 2516 is 1