What two numbers have a GCF of 2401?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2401.

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 2401. Below is the beginning list of multiples of 2401 (1 through 7) in numerical order.

1. 2401
2. 4802
3. 7203
4. 9604
5. 12005
6. 14406
7. 16807
etc...

Two numbers that have a GCF of 2401 can be 2401 and any other number on the list above. Thus, two numbers that have a GCF of 2401 are:

2401 & 4802
2401 & 7203
2401 & 9604
etc...

That is not all! Any combination of any multiple of 2401 and "odd" multiples of 2401 will also have GCF of 2401. 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 2401.

4802 & 7203
4802 & 12005
9604 & 12005
9604 & 16807
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2401. 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 2401, what are the numbers?" or "What are two numbers whose GCF is 2401?"

What two numbers have a GCF of 2402?
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