What two numbers have a GCF of 1971?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1971.

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 1971. Below is the beginning list of multiples of 1971 (1 through 7) in numerical order.

1. 1971
2. 3942
3. 5913
4. 7884
5. 9855
6. 11826
7. 13797
etc...

Two numbers that have a GCF of 1971 can be 1971 and any other number on the list above. Thus, two numbers that have a GCF of 1971 are:

1971 & 3942
1971 & 5913
1971 & 7884
etc...

That is not all! Any combination of any multiple of 1971 and "odd" multiples of 1971 will also have GCF of 1971. 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 1971.

3942 & 5913
3942 & 9855
7884 & 9855
7884 & 13797
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1971. 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 1971, what are the numbers?" or "What are two numbers whose GCF is 1971?"

What two numbers have a GCF of 1972?
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