What two numbers have a GCF of 259?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 259.

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 259. Below is the beginning list of multiples of 259 (1 through 7) in numerical order.

1. 259
2. 518
3. 777
4. 1036
5. 1295
6. 1554
7. 1813
etc...

Two numbers that have a GCF of 259 can be 259 and any other number on the list above. Thus, two numbers that have a GCF of 259 are:

259 & 518
259 & 777
259 & 1036
etc...

That is not all! Any combination of any multiple of 259 and "odd" multiples of 259 will also have GCF of 259. 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 259.

518 & 777
518 & 1295
1036 & 1295
1036 & 1813
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 259. 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 259, what are the numbers?" or "What are two numbers whose GCF is 259?"

What two numbers have a GCF of 260?
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