Greatest Common Factor of 2500 and 2506

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 2500, 2506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2500 and 2506 is 2.

GCF(2500,2506) = 2

GCF of 2500 and 2506

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

GCF of:
and

Greatest Common Factor of 2500 and 2506

GCF of 2500 and 2506 is 2

Prime Factorization of 2500


2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 2500 are 2,5. Prime factorization of 2500 in exponential form is:

2500 = 22×54

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

∴ So by taking common prime factors GCF of 2500 and 2506 is 2

Greatest Common Factor of 2500 and 2506 by matching factors method

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Factors of 2506

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

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

Greatest Common Factor

We found the factors and prime factorization of 2500 and 2506. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2506 is 2.

Also check out the Least Common Multiple of 2500 and 2506

Properties of GCF 2500 and 2506

(i) The GCF of 2500 and 2506 is associative

GCF of 2500 and 2506 = GCF of 2506 and 2500

Related Greatest Common Factor of 2500

Related Greatest Common Factor of 2506

Frequently Asked Questions on GCF of 2500 and 2506

1. What is the GCF of 2500 and 2506?

Answer: GCF of 2500 and 2506 is 2.

2. What are the Factors of 2500?

Answer: Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500. There are 15 integers that are factors of 2500. The greatest factor of 2500 is 2500.

3. 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.

4. How to Find the GCF of 2500 and 2506?

Answer:

Greatest Common Factor of 2500 and 2506 = 2

Step 1: Find the prime factorization of 2500

2500 = 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 2506

2506 = 2 x 7 x 179

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 2500 and 2506 is 2