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 2493, 2500 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2493 and 2500 is 1.
GCF(2493,2500) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2493
3 | 2493 |
3 | 831 |
277 | 277 |
1 |
Prime factors of 2493 are 3,277. Prime factorization of 2493 in exponential form is:
2493 = 32×2771
Prime Factorization of 2500
2 | 2500 |
2 | 1250 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 2500 are 2,5. Prime factorization of 2500 in exponential form is:
2500 = 22×54
∴ So by taking common prime factors GCF of 2493 and 2500 is 1
Factors of 2493
List of positive integer factors of 2493 that divides 2493 without a remainder.
1,3,9,277,831,2493
Factors of 2500
List of positive integer factors of 2500 that divides 2500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500
Greatest Common Factor
We found the factors and prime factorization of 2493 and 2500. The biggest common factor number is the GCF number.
So the greatest common factor 2493 and 2500 is 1.
Also check out the Least Common Multiple of 2493 and 2500
(i) The GCF of 2493 and 2500 is associative
GCF of 2493 and 2500 = GCF of 2500 and 2493
1. What is the GCF of 2493 and 2500?
Answer: GCF of 2493 and 2500 is 1.
2. What are the Factors of 2493?
Answer: Factors of 2493 are 1, 3, 9, 277, 831, 2493. There are 6 integers that are factors of 2493. The greatest factor of 2493 is 2493.
3. What are the Factors of 2500?
Answer: Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500. There are 15 integers that are factors of 2500. The greatest factor of 2500 is 2500.
4. How to Find the GCF of 2493 and 2500?
Answer:
Greatest Common Factor of 2493 and 2500 = 1
Step 1: Find the prime factorization of 2493
2493 = 3 x 3 x 277
Step 2: Find the prime factorization of 2500
2500 = 2 x 2 x 5 x 5 x 5 x 5
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 2493 and 2500 is 1