What two numbers have a GCF of 353?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 353.

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 353. Below is the beginning list of multiples of 353 (1 through 7) in numerical order.

1. 353
2. 706
3. 1059
4. 1412
5. 1765
6. 2118
7. 2471
etc...

Two numbers that have a GCF of 353 can be 353 and any other number on the list above. Thus, two numbers that have a GCF of 353 are:

353 & 706
353 & 1059
353 & 1412
etc...

That is not all! Any combination of any multiple of 353 and "odd" multiples of 353 will also have GCF of 353. 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 353.

706 & 1059
706 & 1765
1412 & 1765
1412 & 2471
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 353. 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 353, what are the numbers?" or "What are two numbers whose GCF is 353?"

What two numbers have a GCF of 354?
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