What two numbers have a GCF of 523?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 523.

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 523. Below is the beginning list of multiples of 523 (1 through 7) in numerical order.

1. 523
2. 1046
3. 1569
4. 2092
5. 2615
6. 3138
7. 3661
etc...

Two numbers that have a GCF of 523 can be 523 and any other number on the list above. Thus, two numbers that have a GCF of 523 are:

523 & 1046
523 & 1569
523 & 2092
etc...

That is not all! Any combination of any multiple of 523 and "odd" multiples of 523 will also have GCF of 523. 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 523.

1046 & 1569
1046 & 2615
2092 & 2615
2092 & 3661
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 523. 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 523, what are the numbers?" or "What are two numbers whose GCF is 523?"

What two numbers have a GCF of 524?
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