Greatest Common Factor of 2500 and 2507

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, 2507 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2500 and 2507 is 1.

GCF(2500,2507) = 1

GCF of 2500 and 2507

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

GCF of:
and

Greatest Common Factor of 2500 and 2507

GCF of 2500 and 2507 is 1

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 2507


23 2507
109 109
1

Prime factors of 2507 are 23,109. Prime factorization of 2507 in exponential form is:

2507 = 231×1091

∴ So by taking common prime factors GCF of 2500 and 2507 is 1

Greatest Common Factor of 2500 and 2507 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 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1,23,109,2507

Greatest Common Factor

We found the factors and prime factorization of 2500 and 2507. The biggest common factor number is the GCF number.
So the greatest common factor 2500 and 2507 is 1.

Also check out the Least Common Multiple of 2500 and 2507

Properties of GCF 2500 and 2507

(i) The GCF of 2500 and 2507 is associative

GCF of 2500 and 2507 = GCF of 2507 and 2500

Related Greatest Common Factor of 2500

Related Greatest Common Factor of 2507

Frequently Asked Questions on GCF of 2500 and 2507

1. What is the GCF of 2500 and 2507?

Answer: GCF of 2500 and 2507 is 1.

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 2507?

Answer: Factors of 2507 are 1, 23, 109, 2507. There are 4 integers that are factors of 2507. The greatest factor of 2507 is 2507.

4. How to Find the GCF of 2500 and 2507?

Answer:

Greatest Common Factor of 2500 and 2507 = 1

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 2507

2507 = 23 x 109

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 2500 and 2507 is 1