Greatest Common Factor of 2462 and 2470

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 2462, 2470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2462 and 2470 is 2.

GCF(2462,2470) = 2

GCF of 2462 and 2470

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

GCF of:
and

Greatest Common Factor of 2462 and 2470

GCF of 2462 and 2470 is 2

Prime Factorization of 2462


2 2462
1231 1231
1

Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:

2462 = 21×12311

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

∴ So by taking common prime factors GCF of 2462 and 2470 is 2

Greatest Common Factor of 2462 and 2470 by matching factors method

Factors of 2462

List of positive integer factors of 2462 that divides 2462 without a remainder.

1,2,1231,2462

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

Greatest Common Factor

We found the factors and prime factorization of 2462 and 2470. The biggest common factor number is the GCF number.
So the greatest common factor 2462 and 2470 is 2.

Also check out the Least Common Multiple of 2462 and 2470

Properties of GCF 2462 and 2470

(i) The GCF of 2462 and 2470 is associative

GCF of 2462 and 2470 = GCF of 2470 and 2462

Related Greatest Common Factor of 2462

Related Greatest Common Factor of 2470

Frequently Asked Questions on GCF of 2462 and 2470

1. What is the GCF of 2462 and 2470?

Answer: GCF of 2462 and 2470 is 2.

2. What are the Factors of 2462?

Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.

3. 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.

4. How to Find the GCF of 2462 and 2470?

Answer:

Greatest Common Factor of 2462 and 2470 = 2

Step 1: Find the prime factorization of 2462

2462 = 2 x 1231

Step 2: Find the prime factorization of 2470

2470 = 2 x 5 x 13 x 19

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 2462 and 2470 is 2