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 7586, 7590 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7586 and 7590 is 2.
GCF(7586,7590) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7586
2 | 7586 |
3793 | 3793 |
1 |
Prime factors of 7586 are 2,3793. Prime factorization of 7586 in exponential form is:
7586 = 21×37931
Prime Factorization of 7590
2 | 7590 |
3 | 3795 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 7590 are 2,3,5,11,23. Prime factorization of 7590 in exponential form is:
7590 = 21×31×51×111×231
∴ So by taking common prime factors GCF of 7586 and 7590 is 2
Factors of 7586
List of positive integer factors of 7586 that divides 7586 without a remainder.
1,2,3793,7586
Factors of 7590
List of positive integer factors of 7590 that divides 7590 without a remainder.
1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Greatest Common Factor
We found the factors and prime factorization of 7586 and 7590. The biggest common factor number is the GCF number.
So the greatest common factor 7586 and 7590 is 2.
Also check out the Least Common Multiple of 7586 and 7590
(i) The GCF of 7586 and 7590 is associative
GCF of 7586 and 7590 = GCF of 7590 and 7586
1. What is the GCF of 7586 and 7590?
Answer: GCF of 7586 and 7590 is 2.
2. What are the Factors of 7586?
Answer: Factors of 7586 are 1, 2, 3793, 7586. There are 4 integers that are factors of 7586. The greatest factor of 7586 is 7586.
3. What are the Factors of 7590?
Answer: Factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590. There are 32 integers that are factors of 7590. The greatest factor of 7590 is 7590.
4. How to Find the GCF of 7586 and 7590?
Answer:
Greatest Common Factor of 7586 and 7590 = 2
Step 1: Find the prime factorization of 7586
7586 = 2 x 3793
Step 2: Find the prime factorization of 7590
7590 = 2 x 3 x 5 x 11 x 23
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 7586 and 7590 is 2