What is the GCF of 35 and 42?
Highest Common Factor HCF or GCF is a greatest number that is a factor of two or more other numbers.
Answer: GCF of 35 and 42 is 7
Two methods to find the GCF of 35 and 42 are explained below.
Methods to find GCF of 35 and 42
- Prime Factorization
- Long Division
Method 1: GCF of 35 and 42 by Prime Factorization
GCF is the product of the factors that are common to each of the given numbers.
Prime factorization of 35 is 5 × 7
Prime factorization of 42 is 2 × 3 × 7
The occurrences of common prime factors of 35 and 42 is 7
Hence GCF(35, 42) = 7
Method 2: GCF of 35 and 42 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 42 as dividend and smaller value 35 as divisor
We will get the GCF same for the given numbers by using different methods.