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 9, 24 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9 and 24 is 3.
GCF(9,24) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 24
2 | 24 |
2 | 12 |
2 | 6 |
3 | 3 |
1 |
Prime factors of 24 are 2.Prime factorization of 24 in exponential form is:
24 = 23×31
∴ So by taking common prime factors GCF of 9 and 24 is 3
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors and prime factorization of 9 and 24. The biggest common factor number is the GCF number.
So the greatest common factor 9 and 24 is 3.
Also check out the Least Common Multiple of 9 and 24
(i) The GCF of 9 and 24 is associative
GCF of 9 and 24 = GCF of 24 and 9
1. What is the GCF of 9 and 24?
Answer: GCF of 9 and 24 is 3.
2. 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.
3. What are the Factors of 24?
Answer: Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. There are 8 integers that are factors of 24. The greatest factor of 24 is 24.
4. How to Find the GCF of 9 and 24?
Answer:
Greatest Common Factor of 9 and 24 = 3
Step 1: Find the prime factorization of 9
9 = 3 x 3
Step 2: Find the prime factorization of 24
24 = 2 x 2 x 2 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 9 and 24 is 3