Greatest Common Factor of 3 and 18

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 3, 18 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3 and 18 is 3.

GCF(3,18) = 3

GCF of 3 and 18

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

GCF of:
and

Greatest Common Factor of 3 and 18

GCF of 3 and 18 is 3

Prime Factorization of 3


3 3
1

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

3 = 31

Prime Factorization of 18


2 18
3 9
3 3
1

Prime factors of 18 are 2.Prime factorization of 18 in exponential form is:

18 = 21×32

∴ So by taking common prime factors GCF of 3 and 18 is 3

Greatest Common Factor of 3 and 18 by matching factors method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors and prime factorization of 3 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 18 is 3.

Also check out the Least Common Multiple of 3 and 18

Properties of GCF 3 and 18

(i) The GCF of 3 and 18 is associative

GCF of 3 and 18 = GCF of 18 and 3

Related Greatest Common Factor of 3

Related Greatest Common Factor of 18

Frequently Asked Questions on GCF of 3 and 18

1. What is the GCF of 3 and 18?

Answer: GCF of 3 and 18 is 3.

2. What are the Factors of 3?

Answer: Factors of 3 are 1, 3. There are 2 integers that are factors of 3. The greatest factor of 3 is 3.

3. What are the Factors of 18?

Answer: Factors of 18 are 1, 2, 3, 6, 9, 18. There are 6 integers that are factors of 18. The greatest factor of 18 is 18.

4. How to Find the GCF of 3 and 18?

Answer:

Greatest Common Factor of 3 and 18 = 3

Step 1: Find the prime factorization of 3

3 = 3

Step 2: Find the prime factorization of 18

18 = 2 x 3 x 3

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 3 and 18 is 3