Greatest Common Factor of 2500 and 2502

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, 2502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2500 and 2502 is 2.

GCF(2500,2502) = 2

GCF of 2500 and 2502

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

GCF of:
and

Greatest Common Factor of 2500 and 2502

GCF of 2500 and 2502 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 2502


2 2502
3 1251
3 417
139 139
1

Prime factors of 2502 are 2,3,139. Prime factorization of 2502 in exponential form is:

2502 = 21×32×1391

∴ So by taking common prime factors GCF of 2500 and 2502 is 2

Greatest Common Factor of 2500 and 2502 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 2502

List of positive integer factors of 2502 that divides 2502 without a remainder.

1,2,3,6,9,18,139,278,417,834,1251,2502

Greatest Common Factor

We found the factors and prime factorization of 2500 and 2502. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2502 is 2.

Also check out the Least Common Multiple of 2500 and 2502

Properties of GCF 2500 and 2502

(i) The GCF of 2500 and 2502 is associative

GCF of 2500 and 2502 = GCF of 2502 and 2500

Related Greatest Common Factor of 2500

Related Greatest Common Factor of 2502

Frequently Asked Questions on GCF of 2500 and 2502

1. What is the GCF of 2500 and 2502?

Answer: GCF of 2500 and 2502 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 2502?

Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.

4. How to Find the GCF of 2500 and 2502?

Answer:

Greatest Common Factor of 2500 and 2502 = 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 2502

2502 = 2 x 3 x 3 x 139

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 2502 is 2