Greatest Common Factor of 2505 and 2510

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 2505, 2510 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2505 and 2510 is 5.

GCF(2505,2510) = 5

GCF of 2505 and 2510

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

GCF of:
and

Greatest Common Factor of 2505 and 2510

GCF of 2505 and 2510 is 5

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

Prime Factorization of 2510


2 2510
5 1255
251 251
1

Prime factors of 2510 are 2,5,251. Prime factorization of 2510 in exponential form is:

2510 = 21×51×2511

∴ So by taking common prime factors GCF of 2505 and 2510 is 5

Greatest Common Factor of 2505 and 2510 by matching factors method

Factors of 2505

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

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

Factors of 2510

List of positive integer factors of 2510 that divides 2510 without a remainder.

1,2,5,10,251,502,1255,2510

Greatest Common Factor

We found the factors and prime factorization of 2505 and 2510. The biggest common factor number is the GCF number.
So the greatest common factor 2505 and 2510 is 5.

Also check out the Least Common Multiple of 2505 and 2510

Properties of GCF 2505 and 2510

(i) The GCF of 2505 and 2510 is associative

GCF of 2505 and 2510 = GCF of 2510 and 2505

Related Greatest Common Factor of 2505

Related Greatest Common Factor of 2510

Frequently Asked Questions on GCF of 2505 and 2510

1. What is the GCF of 2505 and 2510?

Answer: GCF of 2505 and 2510 is 5.

2. 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.

3. What are the Factors of 2510?

Answer: Factors of 2510 are 1, 2, 5, 10, 251, 502, 1255, 2510. There are 8 integers that are factors of 2510. The greatest factor of 2510 is 2510.

4. How to Find the GCF of 2505 and 2510?

Answer:

Greatest Common Factor of 2505 and 2510 = 5

Step 1: Find the prime factorization of 2505

2505 = 3 x 5 x 167

Step 2: Find the prime factorization of 2510

2510 = 2 x 5 x 251

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 2505 and 2510 is 5