Greatest Common Factor of 8580 and 8584

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, 8584 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8580 and 8584 is 4.

GCF(8580,8584) = 4

GCF of 8580 and 8584

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

GCF of:
and

Greatest Common Factor of 8580 and 8584

GCF of 8580 and 8584 is 4

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 8584


2 8584
2 4292
2 2146
29 1073
37 37
1

Prime factors of 8584 are 2,29,37. Prime factorization of 8584 in exponential form is:

8584 = 23×291×371

∴ So by taking common prime factors GCF of 8580 and 8584 is 4

Greatest Common Factor of 8580 and 8584 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 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584

Greatest Common Factor

We found the factors and prime factorization of 8580 and 8584. The biggest common factor number is the GCF number.
So the greatest common factor 8580 and 8584 is 4.

Also check out the Least Common Multiple of 8580 and 8584

Properties of GCF 8580 and 8584

(i) The GCF of 8580 and 8584 is associative

GCF of 8580 and 8584 = GCF of 8584 and 8580

Related Greatest Common Factor of 8580

Related Greatest Common Factor of 8584

Frequently Asked Questions on GCF of 8580 and 8584

1. What is the GCF of 8580 and 8584?

Answer: GCF of 8580 and 8584 is 4.

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 8584?

Answer: Factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584. There are 16 integers that are factors of 8584. The greatest factor of 8584 is 8584.

4. How to Find the GCF of 8580 and 8584?

Answer:

Greatest Common Factor of 8580 and 8584 = 4

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 8584

8584 = 2 x 2 x 2 x 29 x 37

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8580 and 8584 is 4