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 2490, 2495 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2490 and 2495 is 5.
GCF(2490,2495) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2490
2 | 2490 |
3 | 1245 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 2490 are 2,3,5,83. Prime factorization of 2490 in exponential form is:
2490 = 21×31×51×831
Prime Factorization of 2495
5 | 2495 |
499 | 499 |
1 |
Prime factors of 2495 are 5,499. Prime factorization of 2495 in exponential form is:
2495 = 51×4991
∴ So by taking common prime factors GCF of 2490 and 2495 is 5
Factors of 2490
List of positive integer factors of 2490 that divides 2490 without a remainder.
1,2,3,5,6,10,15,30,83,166,249,415,498,830,1245,2490
Factors of 2495
List of positive integer factors of 2495 that divides 2495 without a remainder.
1,5,499,2495
Greatest Common Factor
We found the factors and prime factorization of 2490 and 2495. The biggest common factor number is the GCF number.
So the greatest common factor 2490 and 2495 is 5.
Also check out the Least Common Multiple of 2490 and 2495
(i) The GCF of 2490 and 2495 is associative
GCF of 2490 and 2495 = GCF of 2495 and 2490
1. What is the GCF of 2490 and 2495?
Answer: GCF of 2490 and 2495 is 5.
2. What are the Factors of 2490?
Answer: Factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490. There are 16 integers that are factors of 2490. The greatest factor of 2490 is 2490.
3. What are the Factors of 2495?
Answer: Factors of 2495 are 1, 5, 499, 2495. There are 4 integers that are factors of 2495. The greatest factor of 2495 is 2495.
4. How to Find the GCF of 2490 and 2495?
Answer:
Greatest Common Factor of 2490 and 2495 = 5
Step 1: Find the prime factorization of 2490
2490 = 2 x 3 x 5 x 83
Step 2: Find the prime factorization of 2495
2495 = 5 x 499
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 2490 and 2495 is 5