What two numbers have a GCF of 268?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 268.

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 268. Below is the beginning list of multiples of 268 (1 through 7) in numerical order.

1. 268
2. 536
3. 804
4. 1072
5. 1340
6. 1608
7. 1876
etc...

Two numbers that have a GCF of 268 can be 268 and any other number on the list above. Thus, two numbers that have a GCF of 268 are:

268 & 536
268 & 804
268 & 1072
etc...

That is not all! Any combination of any multiple of 268 and "odd" multiples of 268 will also have GCF of 268. 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 268.

536 & 804
536 & 1340
1072 & 1340
1072 & 1876
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 268. 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 268, what are the numbers?" or "What are two numbers whose GCF is 268?"

What two numbers have a GCF of 269?
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