What two numbers have a GCF of 1007?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1007.

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 1007. Below is the beginning list of multiples of 1007 (1 through 7) in numerical order.

1. 1007
2. 2014
3. 3021
4. 4028
5. 5035
6. 6042
7. 7049
etc...

Two numbers that have a GCF of 1007 can be 1007 and any other number on the list above. Thus, two numbers that have a GCF of 1007 are:

1007 & 2014
1007 & 3021
1007 & 4028
etc...

That is not all! Any combination of any multiple of 1007 and "odd" multiples of 1007 will also have GCF of 1007. 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 1007.

2014 & 3021
2014 & 5035
4028 & 5035
4028 & 7049
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1007. 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 1007, what are the numbers?" or "What are two numbers whose GCF is 1007?"

What two numbers have a GCF of 1008?
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