# Identify Gcf (Listing) Worksheet

## 8 problems

GCF is also known as the ‘Greatest Common Factor’. It is the largest or greatest number among all the common factors of the given numbers. It is referred using different names. Such as: HCD ( Highest Common Divisor ), HCF ( Highest Common Factor ), GCD ( Greatest Common Divisor). They are often used all the time with fractions. We can find the GCF of the numbers using three different methods. They are: prime factorization, division method, and listing out common factors.

Number System
6.NS.B.4

## Teaching Identifying GCF Easily

• The Highest Common Factor of two different numbers ‘a’ and ‘b’ is the greatest natural number ‘x’. It is a factor of both ‘a’ and ‘b’.

• During the intersection of the sets of the common factors, it is the greatest value.

• It is expressed as: GCF (a,b ) = x. Where, a and b are two different natural numbers.

Let us look at the given example mentioned below to understand more about identifying GCF easily.

Example 1: Find the HCF of 18 and 27.

Step 1: Determine the factors.

Factors of 18 = 1, 2, 3 ,6 ,9 and 8.

Factors of 27 = 1, 3, 9, and 27.

Here, 9 is the greatest co...

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