# What is the GCF of 55 and 35?

GCF (Greatest Common Factor) of the numbers 55 and 35 is the largest possible number which divides 55 and 35 exactly without any remainder, that is, leaving the remainder 0

## Answer: GCF of 55 and 35 is 5

GCF of 55 and 35 is the highest number that divides 55 and 35 exactly leaving the remainder 0.

**Explanation:**

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 55 and 35 by the following methods.

- GCF of 55 and 35 by Listing the Common Factors Method
- GCF of 55 and 35 by Long Division Method

### Method 1: GCF of 55 and 35 by Listing the Common Factors

Factors of 55: 1, 5, 11, 55

Factors of 35: 1, 5, 7, 35

Clearly, 1 and 5 are the common factors of 55 and 35, but the greatest common factor between 55 and 35 is 5

So, GCF of 55 and 35 is 5

### Method 2: GCF of 55 and 35 by Long Division

**Step 1: **Divide 55 by 35 and check the remainder.

**Step 2:** Now make the remainder obtained, 20 as the new divisor and the previous divisor 35 as the dividend to perform the long division again.

**Step 3: **Continue till you get the remainder as 0 and the last divisor is our GCF. of 55 and 35

So, by long division, GCF of 55 and 35 is 5

By using any of the methods, you will get the same answer, that is, GCF(55, 35) = 5