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 2580, 2584 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2580 and 2584 is 4.
GCF(2580,2584) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2580
2 | 2580 |
2 | 1290 |
3 | 645 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 2580 are 2,3,5,43. Prime factorization of 2580 in exponential form is:
2580 = 22×31×51×431
Prime Factorization of 2584
2 | 2584 |
2 | 1292 |
2 | 646 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 2584 are 2,17,19. Prime factorization of 2584 in exponential form is:
2584 = 23×171×191
∴ So by taking common prime factors GCF of 2580 and 2584 is 4
Factors of 2580
List of positive integer factors of 2580 that divides 2580 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,43,60,86,129,172,215,258,430,516,645,860,1290,2580
Factors of 2584
List of positive integer factors of 2584 that divides 2584 without a remainder.
1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584
Greatest Common Factor
We found the factors and prime factorization of 2580 and 2584. The biggest common factor number is the GCF number.
So the greatest common factor 2580 and 2584 is 4.
Also check out the Least Common Multiple of 2580 and 2584
(i) The GCF of 2580 and 2584 is associative
GCF of 2580 and 2584 = GCF of 2584 and 2580
1. What is the GCF of 2580 and 2584?
Answer: GCF of 2580 and 2584 is 4.
2. What are the Factors of 2580?
Answer: Factors of 2580 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580. There are 24 integers that are factors of 2580. The greatest factor of 2580 is 2580.
3. What are the Factors of 2584?
Answer: Factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584. There are 16 integers that are factors of 2584. The greatest factor of 2584 is 2584.
4. How to Find the GCF of 2580 and 2584?
Answer:
Greatest Common Factor of 2580 and 2584 = 4
Step 1: Find the prime factorization of 2580
2580 = 2 x 2 x 3 x 5 x 43
Step 2: Find the prime factorization of 2584
2584 = 2 x 2 x 2 x 17 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2580 and 2584 is 4