Greatest Common Factor of 2500 and 2505

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, 2505 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2500 and 2505 is 5.

GCF(2500,2505) = 5

GCF of 2500 and 2505

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

GCF of:
and

Greatest Common Factor of 2500 and 2505

GCF of 2500 and 2505 is 5

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 2505


3 2505
5 835
167 167
1

Prime factors of 2505 are 3,5,167. Prime factorization of 2505 in exponential form is:

2505 = 31×51×1671

∴ So by taking common prime factors GCF of 2500 and 2505 is 5

Greatest Common Factor of 2500 and 2505 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 2505

List of positive integer factors of 2505 that divides 2505 without a remainder.

1,3,5,15,167,501,835,2505

Greatest Common Factor

We found the factors and prime factorization of 2500 and 2505. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2505 is 5.

Also check out the Least Common Multiple of 2500 and 2505

Properties of GCF 2500 and 2505

(i) The GCF of 2500 and 2505 is associative

GCF of 2500 and 2505 = GCF of 2505 and 2500

Related Greatest Common Factor of 2500

Related Greatest Common Factor of 2505

Frequently Asked Questions on GCF of 2500 and 2505

1. What is the GCF of 2500 and 2505?

Answer: GCF of 2500 and 2505 is 5.

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 2505?

Answer: Factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505. There are 8 integers that are factors of 2505. The greatest factor of 2505 is 2505.

4. How to Find the GCF of 2500 and 2505?

Answer:

Greatest Common Factor of 2500 and 2505 = 5

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 2505

2505 = 3 x 5 x 167

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2500 and 2505 is 5