What two numbers have a GCF of 269?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 269.

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 269. Below is the beginning list of multiples of 269 (1 through 7) in numerical order.

1. 269
2. 538
3. 807
4. 1076
5. 1345
6. 1614
7. 1883
etc...

Two numbers that have a GCF of 269 can be 269 and any other number on the list above. Thus, two numbers that have a GCF of 269 are:

269 & 538
269 & 807
269 & 1076
etc...

That is not all! Any combination of any multiple of 269 and "odd" multiples of 269 will also have GCF of 269. 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 269.

538 & 807
538 & 1345
1076 & 1345
1076 & 1883
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 269. 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 269, what are the numbers?" or "What are two numbers whose GCF is 269?"

What two numbers have a GCF of 270?
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