What is the GCF of 5 and 10?
The Greatest Common Factor of two or more numbers is the largest possible number that divides the given numbers exactly without any remainder.
Answer: GCF of 5 and 10 is 5
Lets see how to find the GCF of 5 and 10
We can find the Greatest Common Factor by the following methods
- Prime factorization Method
- Listing the common factors method
- Long division Method
GCF of 5 and 10 by Long Division
- Divide ten by five and check the remainder.
- Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Continue till you get the remainder as 0
change reminder to remainder, and change HCF to GCF
GCF of 5 and 10 by Prime Factorization
Let us represent 5 and 10 as a product of its prime numbers as:
Prime factorization of 5 is 1 × 5
Prime factorization of 10 is 2 × 5
Common factors = 5,1
GCF is the product of the factors that are common to each of the given numbers.
GCF is 5 × 1= 5