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 8580, 8587 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8580 and 8587 is 1.
GCF(8580,8587) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8580
2 | 8580 |
2 | 4290 |
3 | 2145 |
5 | 715 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 8580 are 2,3,5,11,13. Prime factorization of 8580 in exponential form is:
8580 = 22×31×51×111×131
Prime Factorization of 8587
31 | 8587 |
277 | 277 |
1 |
Prime factors of 8587 are 31,277. Prime factorization of 8587 in exponential form is:
8587 = 311×2771
∴ So by taking common prime factors GCF of 8580 and 8587 is 1
Factors of 8580
List of positive integer factors of 8580 that divides 8580 without a remainder.
1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Factors of 8587
List of positive integer factors of 8587 that divides 8587 without a remainder.
1,31,277,8587
Greatest Common Factor
We found the factors and prime factorization of 8580 and 8587. The biggest common factor number is the GCF number.
So the greatest common factor 8580 and 8587 is 1.
Also check out the Least Common Multiple of 8580 and 8587
(i) The GCF of 8580 and 8587 is associative
GCF of 8580 and 8587 = GCF of 8587 and 8580
1. What is the GCF of 8580 and 8587?
Answer: GCF of 8580 and 8587 is 1.
2. What are the Factors of 8580?
Answer: Factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580. There are 48 integers that are factors of 8580. The greatest factor of 8580 is 8580.
3. What are the Factors of 8587?
Answer: Factors of 8587 are 1, 31, 277, 8587. There are 4 integers that are factors of 8587. The greatest factor of 8587 is 8587.
4. How to Find the GCF of 8580 and 8587?
Answer:
Greatest Common Factor of 8580 and 8587 = 1
Step 1: Find the prime factorization of 8580
8580 = 2 x 2 x 3 x 5 x 11 x 13
Step 2: Find the prime factorization of 8587
8587 = 31 x 277
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 8580 and 8587 is 1