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