What two numbers have a GCF of 407?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 407.

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 407. Below is the beginning list of multiples of 407 (1 through 7) in numerical order.

1. 407
2. 814
3. 1221
4. 1628
5. 2035
6. 2442
7. 2849
etc...

Two numbers that have a GCF of 407 can be 407 and any other number on the list above. Thus, two numbers that have a GCF of 407 are:

407 & 814
407 & 1221
407 & 1628
etc...

That is not all! Any combination of any multiple of 407 and "odd" multiples of 407 will also have GCF of 407. 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 407.

814 & 1221
814 & 2035
1628 & 2035
1628 & 2849
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 407. 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 407, what are the numbers?" or "What are two numbers whose GCF is 407?"

What two numbers have a GCF of 408?
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