Greatest Common Factor of 8580 and 8586

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, 8586 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8580 and 8586 is 6.

GCF(8580,8586) = 6

GCF of 8580 and 8586

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8580 and 8586

GCF of 8580 and 8586 is 6

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 8586


2 8586
3 4293
3 1431
3 477
3 159
53 53
1

Prime factors of 8586 are 2,3,53. Prime factorization of 8586 in exponential form is:

8586 = 21×34×531

∴ So by taking common prime factors GCF of 8580 and 8586 is 6

Greatest Common Factor of 8580 and 8586 by matching factors method

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 8586

List of positive integer factors of 8586 that divides 8586 without a remainder.

1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586

Greatest Common Factor

We found the factors and prime factorization of 8580 and 8586. The biggest common factor number is the GCF number.
So the greatest common factor 8580 and 8586 is 6.

Also check out the Least Common Multiple of 8580 and 8586

Properties of GCF 8580 and 8586

(i) The GCF of 8580 and 8586 is associative

GCF of 8580 and 8586 = GCF of 8586 and 8580

Related Greatest Common Factor of 8580

Related Greatest Common Factor of 8586

Frequently Asked Questions on GCF of 8580 and 8586

1. What is the GCF of 8580 and 8586?

Answer: GCF of 8580 and 8586 is 6.

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 8586?

Answer: Factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586. There are 20 integers that are factors of 8586. The greatest factor of 8586 is 8586.

4. How to Find the GCF of 8580 and 8586?

Answer:

Greatest Common Factor of 8580 and 8586 = 6

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 8586

8586 = 2 x 3 x 3 x 3 x 3 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8580 and 8586 is 6