What two numbers have a GCF of 501?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 501.

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 501. Below is the beginning list of multiples of 501 (1 through 7) in numerical order.

1. 501
2. 1002
3. 1503
4. 2004
5. 2505
6. 3006
7. 3507
etc...

Two numbers that have a GCF of 501 can be 501 and any other number on the list above. Thus, two numbers that have a GCF of 501 are:

501 & 1002
501 & 1503
501 & 2004
etc...

That is not all! Any combination of any multiple of 501 and "odd" multiples of 501 will also have GCF of 501. 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 501.

1002 & 1503
1002 & 2505
2004 & 2505
2004 & 3507
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 501. 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 501, what are the numbers?" or "What are two numbers whose GCF is 501?"

What two numbers have a GCF of 502?
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