Greatest Common Factor of 2506 and 2513

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 2506, 2513 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2506 and 2513 is 7.

GCF(2506,2513) = 7

GCF of 2506 and 2513

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

GCF of:
and

Greatest Common Factor of 2506 and 2513

GCF of 2506 and 2513 is 7

Prime Factorization of 2506


2 2506
7 1253
179 179
1

Prime factors of 2506 are 2,7,179. Prime factorization of 2506 in exponential form is:

2506 = 21×71×1791

Prime Factorization of 2513


7 2513
359 359
1

Prime factors of 2513 are 7,359. Prime factorization of 2513 in exponential form is:

2513 = 71×3591

∴ So by taking common prime factors GCF of 2506 and 2513 is 7

Greatest Common Factor of 2506 and 2513 by matching factors method

Factors of 2506

List of positive integer factors of 2506 that divides 2506 without a remainder.

1,2,7,14,179,358,1253,2506

Factors of 2513

List of positive integer factors of 2513 that divides 2513 without a remainder.

1,7,359,2513

Greatest Common Factor

We found the factors and prime factorization of 2506 and 2513. The biggest common factor number is the GCF number.
So the greatest common factor 2506 and 2513 is 7.

Also check out the Least Common Multiple of 2506 and 2513

Properties of GCF 2506 and 2513

(i) The GCF of 2506 and 2513 is associative

GCF of 2506 and 2513 = GCF of 2513 and 2506

Related Greatest Common Factor of 2506

Related Greatest Common Factor of 2513

Frequently Asked Questions on GCF of 2506 and 2513

1. What is the GCF of 2506 and 2513?

Answer: GCF of 2506 and 2513 is 7.

2. What are the Factors of 2506?

Answer: Factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506. There are 8 integers that are factors of 2506. The greatest factor of 2506 is 2506.

3. What are the Factors of 2513?

Answer: Factors of 2513 are 1, 7, 359, 2513. There are 4 integers that are factors of 2513. The greatest factor of 2513 is 2513.

4. How to Find the GCF of 2506 and 2513?

Answer:

Greatest Common Factor of 2506 and 2513 = 7

Step 1: Find the prime factorization of 2506

2506 = 2 x 7 x 179

Step 2: Find the prime factorization of 2513

2513 = 7 x 359

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2506 and 2513 is 7