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 2504, 2510 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2504 and 2510 is 2.
GCF(2504,2510) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2504
2 | 2504 |
2 | 1252 |
2 | 626 |
313 | 313 |
1 |
Prime factors of 2504 are 2,313. Prime factorization of 2504 in exponential form is:
2504 = 23×3131
Prime Factorization of 2510
2 | 2510 |
5 | 1255 |
251 | 251 |
1 |
Prime factors of 2510 are 2,5,251. Prime factorization of 2510 in exponential form is:
2510 = 21×51×2511
∴ So by taking common prime factors GCF of 2504 and 2510 is 2
Factors of 2504
List of positive integer factors of 2504 that divides 2504 without a remainder.
1,2,4,8,313,626,1252,2504
Factors of 2510
List of positive integer factors of 2510 that divides 2510 without a remainder.
1,2,5,10,251,502,1255,2510
Greatest Common Factor
We found the factors and prime factorization of 2504 and 2510. The biggest common factor number is the GCF number.
So the greatest common factor 2504 and 2510 is 2.
Also check out the Least Common Multiple of 2504 and 2510
(i) The GCF of 2504 and 2510 is associative
GCF of 2504 and 2510 = GCF of 2510 and 2504
1. What is the GCF of 2504 and 2510?
Answer: GCF of 2504 and 2510 is 2.
2. What are the Factors of 2504?
Answer: Factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504. There are 8 integers that are factors of 2504. The greatest factor of 2504 is 2504.
3. What are the Factors of 2510?
Answer: Factors of 2510 are 1, 2, 5, 10, 251, 502, 1255, 2510. There are 8 integers that are factors of 2510. The greatest factor of 2510 is 2510.
4. How to Find the GCF of 2504 and 2510?
Answer:
Greatest Common Factor of 2504 and 2510 = 2
Step 1: Find the prime factorization of 2504
2504 = 2 x 2 x 2 x 313
Step 2: Find the prime factorization of 2510
2510 = 2 x 5 x 251
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 2504 and 2510 is 2