# What is the GCF of 6 and 30?

Greatest Common Factor is a greatest number that is a factor of two or more other numbers.

## Answer: GCF of 6 and 30 is 6

## Methods to find GCF of 6 and 30

### GCF of 6 and 30 by Prime Factorization

GCF is the product of the factors that are common to each of the given numbers.

Prime factorization of 6 is 2 × 3

Prime factorization of 30 is 2 × 3 × 5

The occurrences of common prime factors of 6 and 30 are 2 and 3

Hence GCF(6, 30) is 2 × 3 = 6

### GCF of 6 and 30 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 30 as dividend and smaller value 6 as divisor

We will get the GCF same for the given numbers by using different methods.

### Thus,GCF of 6 and 30 is 6

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