Greatest Common Factor of 5580 and 5585

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 5580, 5585 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5580 and 5585 is 5.

GCF(5580,5585) = 5

GCF of 5580 and 5585

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

GCF of:
and

Greatest Common Factor of 5580 and 5585

GCF of 5580 and 5585 is 5

Prime Factorization of 5580


2 5580
2 2790
3 1395
3 465
5 155
31 31
1

Prime factors of 5580 are 2,3,5,31. Prime factorization of 5580 in exponential form is:

5580 = 22×32×51×311

Prime Factorization of 5585


5 5585
1117 1117
1

Prime factors of 5585 are 5,1117. Prime factorization of 5585 in exponential form is:

5585 = 51×11171

∴ So by taking common prime factors GCF of 5580 and 5585 is 5

Greatest Common Factor of 5580 and 5585 by matching factors method

Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580

Factors of 5585

List of positive integer factors of 5585 that divides 5585 without a remainder.

1,5,1117,5585

Greatest Common Factor

We found the factors and prime factorization of 5580 and 5585. The biggest common factor number is the GCF number.
So the greatest common factor 5580 and 5585 is 5.

Also check out the Least Common Multiple of 5580 and 5585

Properties of GCF 5580 and 5585

(i) The GCF of 5580 and 5585 is associative

GCF of 5580 and 5585 = GCF of 5585 and 5580

Related Greatest Common Factor of 5580

Related Greatest Common Factor of 5585

Frequently Asked Questions on GCF of 5580 and 5585

1. What is the GCF of 5580 and 5585?

Answer: GCF of 5580 and 5585 is 5.

2. What are the Factors of 5580?

Answer: Factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580. There are 36 integers that are factors of 5580. The greatest factor of 5580 is 5580.

3. What are the Factors of 5585?

Answer: Factors of 5585 are 1, 5, 1117, 5585. There are 4 integers that are factors of 5585. The greatest factor of 5585 is 5585.

4. How to Find the GCF of 5580 and 5585?

Answer:

Greatest Common Factor of 5580 and 5585 = 5

Step 1: Find the prime factorization of 5580

5580 = 2 x 2 x 3 x 3 x 5 x 31

Step 2: Find the prime factorization of 5585

5585 = 5 x 1117

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 5580 and 5585 is 5