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, 2587 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2580 and 2587 is 1.
GCF(2580,2587) = 1
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 2587
13 | 2587 |
199 | 199 |
1 |
Prime factors of 2587 are 13,199. Prime factorization of 2587 in exponential form is:
2587 = 131×1991
∴ So by taking common prime factors GCF of 2580 and 2587 is 1
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 2587
List of positive integer factors of 2587 that divides 2587 without a remainder.
1,13,199,2587
Greatest Common Factor
We found the factors and prime factorization of 2580 and 2587. The biggest common factor number is the GCF number.
So the greatest common factor 2580 and 2587 is 1.
Also check out the Least Common Multiple of 2580 and 2587
(i) The GCF of 2580 and 2587 is associative
GCF of 2580 and 2587 = GCF of 2587 and 2580
1. What is the GCF of 2580 and 2587?
Answer: GCF of 2580 and 2587 is 1.
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 2587?
Answer: Factors of 2587 are 1, 13, 199, 2587. There are 4 integers that are factors of 2587. The greatest factor of 2587 is 2587.
4. How to Find the GCF of 2580 and 2587?
Answer:
Greatest Common Factor of 2580 and 2587 = 1
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 2587
2587 = 13 x 199
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2580 and 2587 is 1