What two numbers have a GCF of 2723?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2723.

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 2723. Below is the beginning list of multiples of 2723 (1 through 7) in numerical order.

1. 2723
2. 5446
3. 8169
4. 10892
5. 13615
6. 16338
7. 19061
etc...

Two numbers that have a GCF of 2723 can be 2723 and any other number on the list above. Thus, two numbers that have a GCF of 2723 are:

2723 & 5446
2723 & 8169
2723 & 10892
etc...

That is not all! Any combination of any multiple of 2723 and "odd" multiples of 2723 will also have GCF of 2723. 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 2723.

5446 & 8169
5446 & 13615
10892 & 13615
10892 & 19061
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2723. 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 2723, what are the numbers?" or "What are two numbers whose GCF is 2723?"

What two numbers have a GCF of 2724?
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