What is the GCF of 4 and 10?
Greatest Common Factor of a set of numbers is the largest factor that all the numbers share.
Answer: GCF of 4 and 10 is 2
Two methods to find the GCF of 4 and 10 are explained below.
Methods to find GCF of 4 and 10
Let's find the greatest common factor using the following methods
- Prime Factorisation
- Long division Method
Method1: GCF of 4 and 10 by Prime Factorization
Let us represent 4 and 10 as a product of its prime numbers
Thus, we see that
Prime factorization of 4 is 2 × 2
Prime factorization of 10 is 2 × 5
Common factors = 2
Hence, GCF of 4 and 10 is 2
Method2: GCF of 4 and 10 by Long Division Method
Step 1: Divide 10 by 4 and check the remainder.
Step 2: 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.
Step 3: Continue till you get remainder as 0
Step 4: The divisor of the final step is the GCF of the given numbers.
GCF of 4 and 10 is 2