What two numbers have a GCF of 971?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 971.

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 971. Below is the beginning list of multiples of 971 (1 through 7) in numerical order.

1. 971
2. 1942
3. 2913
4. 3884
5. 4855
6. 5826
7. 6797
etc...

Two numbers that have a GCF of 971 can be 971 and any other number on the list above. Thus, two numbers that have a GCF of 971 are:

971 & 1942
971 & 2913
971 & 3884
etc...

That is not all! Any combination of any multiple of 971 and "odd" multiples of 971 will also have GCF of 971. 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 971.

1942 & 2913
1942 & 4855
3884 & 4855
3884 & 6797
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 971. 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 971, what are the numbers?" or "What are two numbers whose GCF is 971?"

What two numbers have a GCF of 972?
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