What two numbers have a GCF of 84?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 84.

There is actually an infinite number of answers to this question. First, note that both the numbers we are looking for must be multiples of 84. Below is the beginning list of multiples of 84 (1 through 7) in numerical order.

1. 84
2. 168
3. 252
4. 336
5. 420
6. 504
7. 588
etc...

Two numbers that have a GCF of 84 can be 84 and any other number on the list above. Thus, two numbers that have a GCF of 84 are:

84 & 168
84 & 252
84 & 336
etc...

That is not all! Any combination of any multiple of 84 and "odd" multiples of 84 will also have GCF of 84. We numbered the multiples above so it would be easy to identify the "odd" multiples (number 1, 3, 5, 7, etc). Thus, here are some more examples of two numbers that also have a GCF of 84.

168 & 252
168 & 420
336 & 420
336 & 588
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 84. The lists we created can go on forever.

Two numbers have a GCF of Calculator
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Teacher Tip: If you are a teacher, you could ask these questions of your students: "I am thinking of two numbers and the GCF is 84, what are the numbers?" or "What are two numbers whose GCF is 84?"

What two numbers have a GCF of 85?
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