**Find the GCF 16x, 12**

## Answer

The GCF (HCF) of the numerical factors is 4.

## Solution

16x, 12

Since 16x, 12 is contains 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 16x, 12

- Find the GCF for the numerical part 16, 12
- Find the GCF for the variable part x¹
- Multiply the values together.

Find the common factor for the numerical part 16, 12

The factors for 16 are 1, 2, 4, 8, 16

The factors for 16 are all numbers between 1 and 16, which divide 16 evenly.

Check between 1 and 16

Find the factor pairs of 16, where x.y = 16

x | y |
---|---|

1 | 16 |

2 | 8 |

4 | 4 |

The factors for 12 are 1, 2, 3, 4, 6, 12

The factors for 12 are all numbers between 1 and 12, which divide 12 evenly

Check numbers between 1 and 12

Find the factor pairs of 12 where x.y = 12

x | y |
---|---|

1 | 12 |

2 | 6 |

3 | 4 |

List all the factors for 16, 12 to find the common factors

**16:** 1, 2, 4, 8, 16

**12:** 1, 2, 3, 4, 6, 12

The common factors for 16, 12 are 1, 2, 4

The numbers doesn’t contain any common variable factors.

**The GCF (HCF) of the numerical factors 1, 2, 4 is 4.**

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