What is the GCF of 8 and 15?
Greatest Common Factor is a greatest number that is a factor of two or more other numbers.
The GCF (greatest common factor) is the same as: HCF (Highest Common Factor), GCD (Greatest Common Divisor), HCD (Highest Common Divisor), GCM (Greatest Common Measure), HCM (Highest Common Measure)
Answer: GCF of 8 and 15 is 1
Two methods to find the GCF of 8 and 15 are explained below.
Methods to find GCF of 8 and 15
- Prime Factorization
- Long Division
Method 1: GCF of 8 and 15 by Prime Factorization
GCF is the product of the factors that are common to each of the given numbers.
Prime factorization of 8 is 2 × 2 × 2
Prime factorization of 15 is 3 × 5
There isn't any common prime factors of 8 and 15
Hence GCF(8,15) = 1
Method 2: GCF of 8 and 15 by Long Division
- Step 1: Divide the larger number by the smaller
- Step 2: Divide the dividend by the remainder obtained in step 1 and repeat this step until we get the remainder as 0
- Step 3: The last dividend is the GCF of the two numbers
We take the larger value 15 as dividend and smaller value 8 as divisor
We will get the GCF same for the given numbers by using different methods.