What two numbers have a GCF of 420?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 420.

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 420. Below is the beginning list of multiples of 420 (1 through 7) in numerical order.

1. 420
2. 840
3. 1260
4. 1680
5. 2100
6. 2520
7. 2940
etc...

Two numbers that have a GCF of 420 can be 420 and any other number on the list above. Thus, two numbers that have a GCF of 420 are:

420 & 840
420 & 1260
420 & 1680
etc...

That is not all! Any combination of any multiple of 420 and "odd" multiples of 420 will also have GCF of 420. 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 420.

840 & 1260
840 & 2100
1680 & 2100
1680 & 2940
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 420. 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 420, what are the numbers?" or "What are two numbers whose GCF is 420?"

What two numbers have a GCF of 421?
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