Greatest Common Factor of 2470 and 2475

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 2470, 2475 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2470 and 2475 is 5.

GCF(2470,2475) = 5

GCF of 2470 and 2475

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

GCF of:
and

Greatest Common Factor of 2470 and 2475

GCF of 2470 and 2475 is 5

Prime Factorization of 2470


2 2470
5 1235
13 247
19 19
1

Prime factors of 2470 are 2,5,13,19. Prime factorization of 2470 in exponential form is:

2470 = 21×51×131×191

Prime Factorization of 2475


3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 2475 are 3,5,11. Prime factorization of 2475 in exponential form is:

2475 = 32×52×111

∴ So by taking common prime factors GCF of 2470 and 2475 is 5

Greatest Common Factor of 2470 and 2475 by matching factors method

Factors of 2470

List of positive integer factors of 2470 that divides 2470 without a remainder.

1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470

Factors of 2475

List of positive integer factors of 2475 that divides 2475 without a remainder.

1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475

Greatest Common Factor

We found the factors and prime factorization of 2470 and 2475. The biggest common factor number is the GCF number.
So the greatest common factor 2470 and 2475 is 5.

Also check out the Least Common Multiple of 2470 and 2475

Properties of GCF 2470 and 2475

(i) The GCF of 2470 and 2475 is associative

GCF of 2470 and 2475 = GCF of 2475 and 2470

Related Greatest Common Factor of 2470

Related Greatest Common Factor of 2475

Frequently Asked Questions on GCF of 2470 and 2475

1. What is the GCF of 2470 and 2475?

Answer: GCF of 2470 and 2475 is 5.

2. What are the Factors of 2470?

Answer: Factors of 2470 are 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470. There are 16 integers that are factors of 2470. The greatest factor of 2470 is 2470.

3. What are the Factors of 2475?

Answer: Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. There are 18 integers that are factors of 2475. The greatest factor of 2475 is 2475.

4. How to Find the GCF of 2470 and 2475?

Answer:

Greatest Common Factor of 2470 and 2475 = 5

Step 1: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 2475

2475 = 3 x 3 x 5 x 5 x 11

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 2470 and 2475 is 5