What is the GCF of 40 and 50?
Greatest Common Factor is a greatest number that is a factor of two or more other numbers.
Answer: GCF of 40 and 50 is 10
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)
Methods to find GCF of 40 and 50
Method 1: GCF of 40 and 50 by Prime Factorization
GCF is the product of the factors that are common to each of the given numbers.
Prime factorization of 40 is 2 × 2 × 2 × 5
Prime factorization of 50 is 2 × 5 × 5
The occurrences of common prime factors of 40 and 50 are 2 and 5
Hence GCF(40, 50) is 2 × 5 = 10
Method 2: GCF of 40 and 50 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 50 as dividend and smaller value 40 as divisor
We will get the GCF same for the given numbers by using different methods.