What two numbers have a GCF of 1501?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1501.

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 1501. Below is the beginning list of multiples of 1501 (1 through 7) in numerical order.

1. 1501
2. 3002
3. 4503
4. 6004
5. 7505
6. 9006
7. 10507
etc...

Two numbers that have a GCF of 1501 can be 1501 and any other number on the list above. Thus, two numbers that have a GCF of 1501 are:

1501 & 3002
1501 & 4503
1501 & 6004
etc...

That is not all! Any combination of any multiple of 1501 and "odd" multiples of 1501 will also have GCF of 1501. 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 1501.

3002 & 4503
3002 & 7505
6004 & 7505
6004 & 10507
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1501. 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 1501, what are the numbers?" or "What are two numbers whose GCF is 1501?"

What two numbers have a GCF of 1502?
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