What is the GCF of 5 and 8?
The greatest common factor of two or more non-zero integers, x & y, is the greatest positive integer m, which divides both, x & y
Answer: The GCF of 5 and 8 is 1
Let us see how to find the GCF of 5 and 8 using different methods.
We have multiple ways to calculate the GCF of 5 and 8
- Prime factorization
- Listing common factors
Method :1 GCF of 5 and 8 by Prime factorization
Let's prime factorize the numbers 5 and 8:
Prime Factorisation of 5: 5
Prime Factorisation of 8: 2×2×2
GCF is the product of all the common factors of 5 and 8 taken once.
We don't see any common factors. so the universal factor 1 is the GCF of 5 and 8.
Hence, GCF(5,8) = 1
Method 2: Listing common factors of 5 and 8
In this method, all the factors of 5 and 8 will be written and the greatest factor that is common to them will be chosen as the GCF
Factors of 5: , 5
Factors of 8: 11, 2, 4, 8
only 1 is the common factor which is also their greatest common factor.
Hence, GCF(5,8) is equal to 1