Greatest Common Factor of 3558 and 3564

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 3558, 3564 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3558 and 3564 is 6.

GCF(3558,3564) = 6

GCF of 3558 and 3564

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

GCF of:
and

Greatest Common Factor of 3558 and 3564

GCF of 3558 and 3564 is 6

Prime Factorization of 3558


2 3558
3 1779
593 593
1

Prime factors of 3558 are 2,3,593. Prime factorization of 3558 in exponential form is:

3558 = 21×31×5931

Prime Factorization of 3564


2 3564
2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 3564 are 2,3,11. Prime factorization of 3564 in exponential form is:

3564 = 22×34×111

∴ So by taking common prime factors GCF of 3558 and 3564 is 6

Greatest Common Factor of 3558 and 3564 by matching factors method

Factors of 3558

List of positive integer factors of 3558 that divides 3558 without a remainder.

1,2,3,6,593,1186,1779,3558

Factors of 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564

Greatest Common Factor

We found the factors and prime factorization of 3558 and 3564. The biggest common factor number is the GCF number.
So the greatest common factor 3558 and 3564 is 6.

Also check out the Least Common Multiple of 3558 and 3564

Properties of GCF 3558 and 3564

(i) The GCF of 3558 and 3564 is associative

GCF of 3558 and 3564 = GCF of 3564 and 3558

Related Greatest Common Factor of 3558

Related Greatest Common Factor of 3564

Frequently Asked Questions on GCF of 3558 and 3564

1. What is the GCF of 3558 and 3564?

Answer: GCF of 3558 and 3564 is 6.

2. What are the Factors of 3558?

Answer: Factors of 3558 are 1, 2, 3, 6, 593, 1186, 1779, 3558. There are 8 integers that are factors of 3558. The greatest factor of 3558 is 3558.

3. What are the Factors of 3564?

Answer: Factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564. There are 30 integers that are factors of 3564. The greatest factor of 3564 is 3564.

4. How to Find the GCF of 3558 and 3564?

Answer:

Greatest Common Factor of 3558 and 3564 = 6

Step 1: Find the prime factorization of 3558

3558 = 2 x 3 x 593

Step 2: Find the prime factorization of 3564

3564 = 2 x 2 x 3 x 3 x 3 x 3 x 11

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 3558 and 3564 is 6