Greatest Common Factor of 3558 and 3561

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, 3561 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3558 and 3561 is 3.

GCF(3558,3561) = 3

GCF of 3558 and 3561

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

GCF of:
and

Greatest Common Factor of 3558 and 3561

GCF of 3558 and 3561 is 3

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 3561


3 3561
1187 1187
1

Prime factors of 3561 are 3,1187. Prime factorization of 3561 in exponential form is:

3561 = 31×11871

∴ So by taking common prime factors GCF of 3558 and 3561 is 3

Greatest Common Factor of 3558 and 3561 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 3561

List of positive integer factors of 3561 that divides 3561 without a remainder.

1,3,1187,3561

Greatest Common Factor

We found the factors and prime factorization of 3558 and 3561. The biggest common factor number is the GCF number.
So the greatest common factor 3558 and 3561 is 3.

Also check out the Least Common Multiple of 3558 and 3561

Properties of GCF 3558 and 3561

(i) The GCF of 3558 and 3561 is associative

GCF of 3558 and 3561 = GCF of 3561 and 3558

Related Greatest Common Factor of 3558

Related Greatest Common Factor of 3561

Frequently Asked Questions on GCF of 3558 and 3561

1. What is the GCF of 3558 and 3561?

Answer: GCF of 3558 and 3561 is 3.

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 3561?

Answer: Factors of 3561 are 1, 3, 1187, 3561. There are 4 integers that are factors of 3561. The greatest factor of 3561 is 3561.

4. How to Find the GCF of 3558 and 3561?

Answer:

Greatest Common Factor of 3558 and 3561 = 3

Step 1: Find the prime factorization of 3558

3558 = 2 x 3 x 593

Step 2: Find the prime factorization of 3561

3561 = 3 x 1187

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3558 and 3561 is 3