What two numbers have a GCF of 505?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 505.

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 505. Below is the beginning list of multiples of 505 (1 through 7) in numerical order.

1. 505
2. 1010
3. 1515
4. 2020
5. 2525
6. 3030
7. 3535
etc...

Two numbers that have a GCF of 505 can be 505 and any other number on the list above. Thus, two numbers that have a GCF of 505 are:

505 & 1010
505 & 1515
505 & 2020
etc...

That is not all! Any combination of any multiple of 505 and "odd" multiples of 505 will also have GCF of 505. 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 505.

1010 & 1515
1010 & 2525
2020 & 2525
2020 & 3535
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 505. 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 505, what are the numbers?" or "What are two numbers whose GCF is 505?"

What two numbers have a GCF of 506?
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