Greatest Common Factor of 2463 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 2463, 2470 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2463 and 2470 is 1.

GCF(2463,2470) = 1

GCF of 2463 and 2470

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

GCF of:
and

Greatest Common Factor of 2463 and 2470

GCF of 2463 and 2470 is 1

Prime Factorization of 2463


3 2463
821 821
1

Prime factors of 2463 are 3,821. Prime factorization of 2463 in exponential form is:

2463 = 31×8211

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 2463 and 2470 is 1

Greatest Common Factor of 2463 and 2470 by matching factors method

Factors of 2463

List of positive integer factors of 2463 that divides 2463 without a remainder.

1,3,821,2463

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 2463 and 2470. The biggest common factor number is the GCF number.
So the greatest common factor 2463 and 2470 is 1.

Also check out the Least Common Multiple of 2463 and 2470

Properties of GCF 2463 and 2470

(i) The GCF of 2463 and 2470 is associative

GCF of 2463 and 2470 = GCF of 2470 and 2463

Frequently Asked Questions on GCF of 2463 and 2470

1. What is the GCF of 2463 and 2470?

Answer: GCF of 2463 and 2470 is 1.

2. What are the Factors of 2463?

Answer: Factors of 2463 are 1, 3, 821, 2463. There are 4 integers that are factors of 2463. The greatest factor of 2463 is 2463.

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 2463 and 2470?

Answer:

Greatest Common Factor of 2463 and 2470 = 1

Step 1: Find the prime factorization of 2463

2463 = 3 x 821

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 = = 1

Step 4: Therefore, the greatest common factor of 2463 and 2470 is 1