# What is the Greatest Common Factor of 42, 126, and 210?

We will be using the concept of GCF to solve this.

## Answer: The Greatest Common Factor of 42, 126, and 210 is 42.

Let's solve this step by step.

**Explanation: **

Given: 42, 126, 210

GCF is the greatest common factor or highest integer that divides all the numbers.

Factors of 42: 1, 2, 3, 6, 7, 14, 21, **42**.

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, **42**, 63, 126.

Factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, **42**, 70, 105, and 210.

As you can see from the above, 42 is the highest integer that divides all the three numbers 42, 126, 210.

### Thus, the greatest common factor of 42, 126, 210 is 42.

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