Greatest Common Factor of 2470 and 2474

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, 2474 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2470 and 2474 is 2.

GCF(2470,2474) = 2

GCF of 2470 and 2474

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

GCF of:
and

Greatest Common Factor of 2470 and 2474

GCF of 2470 and 2474 is 2

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 2474


2 2474
1237 1237
1

Prime factors of 2474 are 2,1237. Prime factorization of 2474 in exponential form is:

2474 = 21×12371

∴ So by taking common prime factors GCF of 2470 and 2474 is 2

Greatest Common Factor of 2470 and 2474 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 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1,2,1237,2474

Greatest Common Factor

We found the factors and prime factorization of 2470 and 2474. The biggest common factor number is the GCF number.
So the greatest common factor 2470 and 2474 is 2.

Also check out the Least Common Multiple of 2470 and 2474

Properties of GCF 2470 and 2474

(i) The GCF of 2470 and 2474 is associative

GCF of 2470 and 2474 = GCF of 2474 and 2470

Related Greatest Common Factor of 2470

Related Greatest Common Factor of 2474

Frequently Asked Questions on GCF of 2470 and 2474

1. What is the GCF of 2470 and 2474?

Answer: GCF of 2470 and 2474 is 2.

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 2474?

Answer: Factors of 2474 are 1, 2, 1237, 2474. There are 4 integers that are factors of 2474. The greatest factor of 2474 is 2474.

4. How to Find the GCF of 2470 and 2474?

Answer:

Greatest Common Factor of 2470 and 2474 = 2

Step 1: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

Step 2: Find the prime factorization of 2474

2474 = 2 x 1237

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2470 and 2474 is 2