# What is the GCF of 6 and 35?

Greatest Common Factor of 6 and 35 is the largest possible number which divides both 6 and 35 exactly.

## Answer: GCF of 6 and 35 is 1

Here, we will show two methods to find the GCF (6, 35)

## Explanation:

The methods to find GCF of 6 and 35 are

- GCF of 6 and 35 by Listing the Common Factors
- GCF of 6 and 35 by Long Division

### Method 1: GCF of 6 and 35 by Listing the Common Factors

Factors of 6: 1, 2, 3, 6

Factors of 35: 1, 5, 7, 35

Common Factors of 6 and 35: 1

Since the greatest common factor of 6 and 35 is 1, we say GCF of 6 and 35 is 1

### Method 2: GCF of 6 and 35 by Long Division

**Step 1:** Divide the largest number 35 by the smaller number 6 and check the remainder. Here, the remainder is 5.

**Step 2:** Make the remainder 5 as the divisor and the divisor 6 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and GCF of 6 and 35 is the last divisor obtained.

You can find the GCF of 6 and 35 in any of the above methods but the solution will be the same.