What two numbers have a GCF of 507?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 507.

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 507. Below is the beginning list of multiples of 507 (1 through 7) in numerical order.

1. 507
2. 1014
3. 1521
4. 2028
5. 2535
6. 3042
7. 3549
etc...

Two numbers that have a GCF of 507 can be 507 and any other number on the list above. Thus, two numbers that have a GCF of 507 are:

507 & 1014
507 & 1521
507 & 2028
etc...

That is not all! Any combination of any multiple of 507 and "odd" multiples of 507 will also have GCF of 507. 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 507.

1014 & 1521
1014 & 2535
2028 & 2535
2028 & 3549
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 507. 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 507, what are the numbers?" or "What are two numbers whose GCF is 507?"

What two numbers have a GCF of 508?
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