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 2583, 2590 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2583 and 2590 is 7.
GCF(2583,2590) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2583
3 | 2583 |
3 | 861 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 2583 are 3,7,41. Prime factorization of 2583 in exponential form is:
2583 = 32×71×411
Prime Factorization of 2590
2 | 2590 |
5 | 1295 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 2590 are 2,5,7,37. Prime factorization of 2590 in exponential form is:
2590 = 21×51×71×371
∴ So by taking common prime factors GCF of 2583 and 2590 is 7
Factors of 2583
List of positive integer factors of 2583 that divides 2583 without a remainder.
1,3,7,9,21,41,63,123,287,369,861,2583
Factors of 2590
List of positive integer factors of 2590 that divides 2590 without a remainder.
1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590
Greatest Common Factor
We found the factors and prime factorization of 2583 and 2590. The biggest common factor number is the GCF number.
So the greatest common factor 2583 and 2590 is 7.
Also check out the Least Common Multiple of 2583 and 2590
(i) The GCF of 2583 and 2590 is associative
GCF of 2583 and 2590 = GCF of 2590 and 2583
1. What is the GCF of 2583 and 2590?
Answer: GCF of 2583 and 2590 is 7.
2. What are the Factors of 2583?
Answer: Factors of 2583 are 1, 3, 7, 9, 21, 41, 63, 123, 287, 369, 861, 2583. There are 12 integers that are factors of 2583. The greatest factor of 2583 is 2583.
3. What are the Factors of 2590?
Answer: Factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590. There are 16 integers that are factors of 2590. The greatest factor of 2590 is 2590.
4. How to Find the GCF of 2583 and 2590?
Answer:
Greatest Common Factor of 2583 and 2590 = 7
Step 1: Find the prime factorization of 2583
2583 = 3 x 3 x 7 x 41
Step 2: Find the prime factorization of 2590
2590 = 2 x 5 x 7 x 37
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 2583 and 2590 is 7