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 2499, 2505 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2499 and 2505 is 3.
GCF(2499,2505) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2499
3 | 2499 |
7 | 833 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 2499 are 3,7,17. Prime factorization of 2499 in exponential form is:
2499 = 31×72×171
Prime Factorization of 2505
3 | 2505 |
5 | 835 |
167 | 167 |
1 |
Prime factors of 2505 are 3,5,167. Prime factorization of 2505 in exponential form is:
2505 = 31×51×1671
∴ So by taking common prime factors GCF of 2499 and 2505 is 3
Factors of 2499
List of positive integer factors of 2499 that divides 2499 without a remainder.
1,3,7,17,21,49,51,119,147,357,833,2499
Factors of 2505
List of positive integer factors of 2505 that divides 2505 without a remainder.
1,3,5,15,167,501,835,2505
Greatest Common Factor
We found the factors and prime factorization of 2499 and 2505. The biggest common factor number is the GCF number.
So the greatest common factor 2499 and 2505 is 3.
Also check out the Least Common Multiple of 2499 and 2505
(i) The GCF of 2499 and 2505 is associative
GCF of 2499 and 2505 = GCF of 2505 and 2499
1. What is the GCF of 2499 and 2505?
Answer: GCF of 2499 and 2505 is 3.
2. What are the Factors of 2499?
Answer: Factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499. There are 12 integers that are factors of 2499. The greatest factor of 2499 is 2499.
3. What are the Factors of 2505?
Answer: Factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505. There are 8 integers that are factors of 2505. The greatest factor of 2505 is 2505.
4. How to Find the GCF of 2499 and 2505?
Answer:
Greatest Common Factor of 2499 and 2505 = 3
Step 1: Find the prime factorization of 2499
2499 = 3 x 7 x 7 x 17
Step 2: Find the prime factorization of 2505
2505 = 3 x 5 x 167
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2499 and 2505 is 3