Greatest Common Factor of 8 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 8, 9 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8 and 9 is 1.

GCF(8,9) = 1

GCF of 8 and 9

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

GCF of:
and

Greatest Common Factor of 8 and 9

GCF of 8 and 9 is 1

Prime Factorization of 8


2 8
2 4
2 2
1

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

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 8 and 9 is 1

Greatest Common Factor of 8 and 9 by matching factors method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

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 8 and 9. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 9 is 1.

Also check out the Least Common Multiple of 8 and 9

Properties of GCF 8 and 9

(i) The GCF of 8 and 9 is associative

GCF of 8 and 9 = GCF of 9 and 8

Related Greatest Common Factor of 8

Related Greatest Common Factor of 9

Frequently Asked Questions on GCF of 8 and 9

1. What is the GCF of 8 and 9?

Answer: GCF of 8 and 9 is 1.

2. What are the Factors of 8?

Answer: Factors of 8 are 1, 2, 4, 8. There are 4 integers that are factors of 8. The greatest factor of 8 is 8.

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 8 and 9?

Answer:

Greatest Common Factor of 8 and 9 = 1

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 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 8 and 9 is 1