Greatest Common Factor of 2 and 9

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 2, 9 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2 and 9 is 1.

GCF(2,9) = 1

GCF of 2 and 9

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

GCF of:
and

Greatest Common Factor of 2 and 9

GCF of 2 and 9 is 1

Prime Factorization of 2


2 2
1

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

2 = 21

Prime Factorization of 9


3 9
3 3
1

Prime factors of 9 are 3.Prime factorization of 9 in exponential form is:

9 = 32

∴ So by taking common prime factors GCF of 2 and 9 is 1

Greatest Common Factor of 2 and 9 by matching factors method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Greatest Common Factor

We found the factors and prime factorization of 2 and 9. The biggest common factor number is the GCF number.
So the greatest common factor 2 and 9 is 1.

Also check out the Least Common Multiple of 2 and 9

Properties of GCF 2 and 9

(i) The GCF of 2 and 9 is associative

GCF of 2 and 9 = GCF of 9 and 2

Related Greatest Common Factor of 2

Related Greatest Common Factor of 9

Frequently Asked Questions on GCF of 2 and 9

1. What is the GCF of 2 and 9?

Answer: GCF of 2 and 9 is 1.

2. What are the Factors of 2?

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

3. What are the Factors of 9?

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

4. How to Find the GCF of 2 and 9?

Answer:

Greatest Common Factor of 2 and 9 = 1

Step 1: Find the prime factorization of 2

2 = 2

Step 2: Find the prime factorization of 9

9 = 3 x 3

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2 and 9 is 1