What two numbers have a GCF of 2567?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2567.

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 2567. Below is the beginning list of multiples of 2567 (1 through 7) in numerical order.

1. 2567
2. 5134
3. 7701
4. 10268
5. 12835
6. 15402
7. 17969
etc...

Two numbers that have a GCF of 2567 can be 2567 and any other number on the list above. Thus, two numbers that have a GCF of 2567 are:

2567 & 5134
2567 & 7701
2567 & 10268
etc...

That is not all! Any combination of any multiple of 2567 and "odd" multiples of 2567 will also have GCF of 2567. 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 2567.

5134 & 7701
5134 & 12835
10268 & 12835
10268 & 17969
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2567. 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 2567, what are the numbers?" or "What are two numbers whose GCF is 2567?"

What two numbers have a GCF of 2568?
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