Greatest Common Factor of 8580 and 8585

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, 8585 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8580 and 8585 is 5.

GCF(8580,8585) = 5

GCF of 8580 and 8585

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

GCF of:
and

Greatest Common Factor of 8580 and 8585

GCF of 8580 and 8585 is 5

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 8585


5 8585
17 1717
101 101
1

Prime factors of 8585 are 5,17,101. Prime factorization of 8585 in exponential form is:

8585 = 51×171×1011

∴ So by taking common prime factors GCF of 8580 and 8585 is 5

Greatest Common Factor of 8580 and 8585 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 8585

List of positive integer factors of 8585 that divides 8585 without a remainder.

1,5,17,85,101,505,1717,8585

Greatest Common Factor

We found the factors and prime factorization of 8580 and 8585. The biggest common factor number is the GCF number.
So the greatest common factor 8580 and 8585 is 5.

Also check out the Least Common Multiple of 8580 and 8585

Properties of GCF 8580 and 8585

(i) The GCF of 8580 and 8585 is associative

GCF of 8580 and 8585 = GCF of 8585 and 8580

Related Greatest Common Factor of 8580

Related Greatest Common Factor of 8585

Frequently Asked Questions on GCF of 8580 and 8585

1. What is the GCF of 8580 and 8585?

Answer: GCF of 8580 and 8585 is 5.

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 8585?

Answer: Factors of 8585 are 1, 5, 17, 85, 101, 505, 1717, 8585. There are 8 integers that are factors of 8585. The greatest factor of 8585 is 8585.

4. How to Find the GCF of 8580 and 8585?

Answer:

Greatest Common Factor of 8580 and 8585 = 5

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 8585

8585 = 5 x 17 x 101

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8580 and 8585 is 5