What two numbers have a GCF of 2562?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2562.

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 2562. Below is the beginning list of multiples of 2562 (1 through 7) in numerical order.

1. 2562
2. 5124
3. 7686
4. 10248
5. 12810
6. 15372
7. 17934
etc...

Two numbers that have a GCF of 2562 can be 2562 and any other number on the list above. Thus, two numbers that have a GCF of 2562 are:

2562 & 5124
2562 & 7686
2562 & 10248
etc...

That is not all! Any combination of any multiple of 2562 and "odd" multiples of 2562 will also have GCF of 2562. 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 2562.

5124 & 7686
5124 & 12810
10248 & 12810
10248 & 17934
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2562. 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 2562, what are the numbers?" or "What are two numbers whose GCF is 2562?"

What two numbers have a GCF of 2563?
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