What is the GCF of 10 and 35?
Greatest Common Divisor GCD or GCF is the greatest number that is a factor of two or more other numbers.
Answer: GCF of 10 and 35 is 5
Two methods to find the GCF of 10 and 35 are explained below.
Methods to find GCF of 10 and 35
- Prime Factorization
- Long Division
Method 1: GCF of 10 and 35 by Prime Factorization
GCF is the product of the factors that are common to each of the given numbers.
Prime factorization of 10 is 2 × 5
Prime factorization of 35 is 5 × 7
The occurrences of common prime factors of 10 and 35 is 7
Hence GCF(10, 35) = 7
Method 2: GCF of 10 and 35 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 35 as dividend and smaller value 10 as the divisor
We will get the GCF same for the given numbers by using different methods.