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 2492, 2499 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2492 and 2499 is 7.
GCF(2492,2499) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2492
2 | 2492 |
2 | 1246 |
7 | 623 |
89 | 89 |
1 |
Prime factors of 2492 are 2,7,89. Prime factorization of 2492 in exponential form is:
2492 = 22×71×891
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
∴ So by taking common prime factors GCF of 2492 and 2499 is 7
Factors of 2492
List of positive integer factors of 2492 that divides 2492 without a remainder.
1,2,4,7,14,28,89,178,356,623,1246,2492
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
Greatest Common Factor
We found the factors and prime factorization of 2492 and 2499. The biggest common factor number is the GCF number.
So the greatest common factor 2492 and 2499 is 7.
Also check out the Least Common Multiple of 2492 and 2499
(i) The GCF of 2492 and 2499 is associative
GCF of 2492 and 2499 = GCF of 2499 and 2492
1. What is the GCF of 2492 and 2499?
Answer: GCF of 2492 and 2499 is 7.
2. What are the Factors of 2492?
Answer: Factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. There are 12 integers that are factors of 2492. The greatest factor of 2492 is 2492.
3. 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.
4. How to Find the GCF of 2492 and 2499?
Answer:
Greatest Common Factor of 2492 and 2499 = 7
Step 1: Find the prime factorization of 2492
2492 = 2 x 2 x 7 x 89
Step 2: Find the prime factorization of 2499
2499 = 3 x 7 x 7 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 2492 and 2499 is 7