Greatest Common Factor of 2510 and 2515

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 2510, 2515 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2510 and 2515 is 5.

GCF(2510,2515) = 5

GCF of 2510 and 2515

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

GCF of:
and

Greatest Common Factor of 2510 and 2515

GCF of 2510 and 2515 is 5

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

Prime Factorization of 2515


5 2515
503 503
1

Prime factors of 2515 are 5,503. Prime factorization of 2515 in exponential form is:

2515 = 51×5031

∴ So by taking common prime factors GCF of 2510 and 2515 is 5

Greatest Common Factor of 2510 and 2515 by matching factors method

Factors of 2510

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

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

Factors of 2515

List of positive integer factors of 2515 that divides 2515 without a remainder.

1,5,503,2515

Greatest Common Factor

We found the factors and prime factorization of 2510 and 2515. The biggest common factor number is the GCF number.
So the greatest common factor 2510 and 2515 is 5.

Also check out the Least Common Multiple of 2510 and 2515

Properties of GCF 2510 and 2515

(i) The GCF of 2510 and 2515 is associative

GCF of 2510 and 2515 = GCF of 2515 and 2510

Related Greatest Common Factor of 2510

Related Greatest Common Factor of 2515

Frequently Asked Questions on GCF of 2510 and 2515

1. What is the GCF of 2510 and 2515?

Answer: GCF of 2510 and 2515 is 5.

2. 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.

3. What are the Factors of 2515?

Answer: Factors of 2515 are 1, 5, 503, 2515. There are 4 integers that are factors of 2515. The greatest factor of 2515 is 2515.

4. How to Find the GCF of 2510 and 2515?

Answer:

Greatest Common Factor of 2510 and 2515 = 5

Step 1: Find the prime factorization of 2510

2510 = 2 x 5 x 251

Step 2: Find the prime factorization of 2515

2515 = 5 x 503

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 2510 and 2515 is 5