# What Numbers Go Into 84 And 72

For the question "What Numbers Go Into 84 and 72" is the same as Greatest Common Factor (GCF, HCF, GCD) of 84 And 72 numbers.

## Greatest Common Factor Of 84 And 72

The gcf of 84 and 72 is the largest positive integer that divides the numbers 84 and 72 without a remainder. Let's find the factors.

## Finding The Factors Of 84 And 72

List out all of the prime factors for each number:

Factors Of 84

1 , 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 42 , 84

Factors Of 72

1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 36 , 72

The greatest common factor of 84 and 72 is 12 .

### What is the Greatest Common Factor?

Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. It's also commonly known as:

```Greatest Common Denominator (GCD)
Highest Common Factor (HCF)
Greatest Common Divisor (GCD)
```

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