What two numbers have a GCF of 1307?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1307.

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 1307. Below is the beginning list of multiples of 1307 (1 through 7) in numerical order.

1. 1307
2. 2614
3. 3921
4. 5228
5. 6535
6. 7842
7. 9149
etc...

Two numbers that have a GCF of 1307 can be 1307 and any other number on the list above. Thus, two numbers that have a GCF of 1307 are:

1307 & 2614
1307 & 3921
1307 & 5228
etc...

That is not all! Any combination of any multiple of 1307 and "odd" multiples of 1307 will also have GCF of 1307. 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 1307.

2614 & 3921
2614 & 6535
5228 & 6535
5228 & 9149
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1307. 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 1307, what are the numbers?" or "What are two numbers whose GCF is 1307?"

What two numbers have a GCF of 1308?
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