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, 27 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8 and 27 is 1.
GCF(8,27) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 27
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 27 are 3.Prime factorization of 27 in exponential form is:
27 = 33
∴ So by taking common prime factors GCF of 8 and 27 is 1
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Greatest Common Factor
We found the factors and prime factorization of 8 and 27. The biggest common factor number is the GCF number.
So the greatest common factor 8 and 27 is 1.
Also check out the Least Common Multiple of 8 and 27
(i) The GCF of 8 and 27 is associative
GCF of 8 and 27 = GCF of 27 and 8
1. What is the GCF of 8 and 27?
Answer: GCF of 8 and 27 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 27?
Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.
4. How to Find the GCF of 8 and 27?
Answer:
Greatest Common Factor of 8 and 27 = 1
Step 1: Find the prime factorization of 8
8 = 2 x 2 x 2
Step 2: Find the prime factorization of 27
27 = 3 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 = = 1
Step 4: Therefore, the greatest common factor of 8 and 27 is 1