Greatest Common Factor of 5574 and 5580

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 5574, 5580 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5574 and 5580 is 6.

GCF(5574,5580) = 6

GCF of 5574 and 5580

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

GCF of:
and

Greatest Common Factor of 5574 and 5580

GCF of 5574 and 5580 is 6

Prime Factorization of 5574


2 5574
3 2787
929 929
1

Prime factors of 5574 are 2,3,929. Prime factorization of 5574 in exponential form is:

5574 = 21×31×9291

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

∴ So by taking common prime factors GCF of 5574 and 5580 is 6

Greatest Common Factor of 5574 and 5580 by matching factors method

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1,2,3,6,929,1858,2787,5574

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

Greatest Common Factor

We found the factors and prime factorization of 5574 and 5580. The biggest common factor number is the GCF number.
So the greatest common factor 5574 and 5580 is 6.

Also check out the Least Common Multiple of 5574 and 5580

Properties of GCF 5574 and 5580

(i) The GCF of 5574 and 5580 is associative

GCF of 5574 and 5580 = GCF of 5580 and 5574

Related Greatest Common Factor of 5574

Related Greatest Common Factor of 5580

Frequently Asked Questions on GCF of 5574 and 5580

1. What is the GCF of 5574 and 5580?

Answer: GCF of 5574 and 5580 is 6.

2. What are the Factors of 5574?

Answer: Factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574. There are 8 integers that are factors of 5574. The greatest factor of 5574 is 5574.

3. 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.

4. How to Find the GCF of 5574 and 5580?

Answer:

Greatest Common Factor of 5574 and 5580 = 6

Step 1: Find the prime factorization of 5574

5574 = 2 x 3 x 929

Step 2: Find the prime factorization of 5580

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

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 5574 and 5580 is 6