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 2486, 2490 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2486 and 2490 is 2.
GCF(2486,2490) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2486
2 | 2486 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 2486 are 2,11,113. Prime factorization of 2486 in exponential form is:
2486 = 21×111×1131
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
∴ So by taking common prime factors GCF of 2486 and 2490 is 2
Factors of 2486
List of positive integer factors of 2486 that divides 2486 without a remainder.
1,2,11,22,113,226,1243,2486
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
Greatest Common Factor
We found the factors and prime factorization of 2486 and 2490. The biggest common factor number is the GCF number.
So the greatest common factor 2486 and 2490 is 2.
Also check out the Least Common Multiple of 2486 and 2490
(i) The GCF of 2486 and 2490 is associative
GCF of 2486 and 2490 = GCF of 2490 and 2486
1. What is the GCF of 2486 and 2490?
Answer: GCF of 2486 and 2490 is 2.
2. What are the Factors of 2486?
Answer: Factors of 2486 are 1, 2, 11, 22, 113, 226, 1243, 2486. There are 8 integers that are factors of 2486. The greatest factor of 2486 is 2486.
3. 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.
4. How to Find the GCF of 2486 and 2490?
Answer:
Greatest Common Factor of 2486 and 2490 = 2
Step 1: Find the prime factorization of 2486
2486 = 2 x 11 x 113
Step 2: Find the prime factorization of 2490
2490 = 2 x 3 x 5 x 83
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 2486 and 2490 is 2