What two numbers have a GCF of 1497?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1497.

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 1497. Below is the beginning list of multiples of 1497 (1 through 7) in numerical order.

1. 1497
2. 2994
3. 4491
4. 5988
5. 7485
6. 8982
7. 10479
etc...

Two numbers that have a GCF of 1497 can be 1497 and any other number on the list above. Thus, two numbers that have a GCF of 1497 are:

1497 & 2994
1497 & 4491
1497 & 5988
etc...

That is not all! Any combination of any multiple of 1497 and "odd" multiples of 1497 will also have GCF of 1497. 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 1497.

2994 & 4491
2994 & 7485
5988 & 7485
5988 & 10479
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1497. 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 1497, what are the numbers?" or "What are two numbers whose GCF is 1497?"

What two numbers have a GCF of 1498?
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