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 2577, 2580 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2577 and 2580 is 3.
GCF(2577,2580) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2577
3 | 2577 |
859 | 859 |
1 |
Prime factors of 2577 are 3,859. Prime factorization of 2577 in exponential form is:
2577 = 31×8591
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
∴ So by taking common prime factors GCF of 2577 and 2580 is 3
Factors of 2577
List of positive integer factors of 2577 that divides 2577 without a remainder.
1,3,859,2577
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
Greatest Common Factor
We found the factors and prime factorization of 2577 and 2580. The biggest common factor number is the GCF number.
So the greatest common factor 2577 and 2580 is 3.
Also check out the Least Common Multiple of 2577 and 2580
(i) The GCF of 2577 and 2580 is associative
GCF of 2577 and 2580 = GCF of 2580 and 2577
1. What is the GCF of 2577 and 2580?
Answer: GCF of 2577 and 2580 is 3.
2. What are the Factors of 2577?
Answer: Factors of 2577 are 1, 3, 859, 2577. There are 4 integers that are factors of 2577. The greatest factor of 2577 is 2577.
3. 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.
4. How to Find the GCF of 2577 and 2580?
Answer:
Greatest Common Factor of 2577 and 2580 = 3
Step 1: Find the prime factorization of 2577
2577 = 3 x 859
Step 2: Find the prime factorization of 2580
2580 = 2 x 2 x 3 x 5 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2577 and 2580 is 3