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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 2463 and 2470 is associative
GCF of 2463 and 2470 = GCF of 2470 and 2463
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