What is the GCF of 5 and 7?
Greatest Common Factor is the greatest number that is a factor of the given 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 5 and 7 is 1
Two methods to find the GCF of 5 and 7 are explained below.
Methods to find GCF of 5 and 7
- Prime Factorization
- Long Division
Method 1: GCF of 5 and 7 by Prime Factorization
GCF is the product of the factors that are common to each of the given numbers.
Prime factorization of 5 is 5
Prime factorization of 7 is 7
There isn't any common prime factors of 5 and 7
Hence GCF(5, 7) = 1
Method 2: GCF of 5 and 7 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 7 as dividend and smaller value 5 as the divisor
We will get the GCF same for the given numbers by using different methods.