Find the GCF 22y

Since ${\displaystyle 22y}$ contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for ${\displaystyle 22y}$:

1. Find the GCF for the numerical part ${\displaystyle 22}$

2. Find the GCF for the variable part ${\displaystyle y^1}$

3. Multiply the values together

Find the common factors for the numerical part:

List all the factors for ${\displaystyle 22}$ to find the common factors.

${\displaystyle 22}$: ${\displaystyle 1,2,11,22}$

The common factors for ${\displaystyle 22}$ are ${\displaystyle 1,2,11,22}$.

The GCF for the numerical part is ${\displaystyle 22}$.

Next, find the common factors for the variable part:

y

List all the factors for ${\displaystyle y^1}$ to find the common factors.

The common factor for the variables ${\displaystyle y^1}$ is ${\displaystyle y}$.

y

The GCF for the variable part is ${\displaystyle y}$.