What two numbers have a GCF of 972?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 972.

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 972. Below is the beginning list of multiples of 972 (1 through 7) in numerical order.

1. 972
2. 1944
3. 2916
4. 3888
5. 4860
6. 5832
7. 6804
etc...

Two numbers that have a GCF of 972 can be 972 and any other number on the list above. Thus, two numbers that have a GCF of 972 are:

972 & 1944
972 & 2916
972 & 3888
etc...

That is not all! Any combination of any multiple of 972 and "odd" multiples of 972 will also have GCF of 972. 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 972.

1944 & 2916
1944 & 4860
3888 & 4860
3888 & 6804
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 972. 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 972, what are the numbers?" or "What are two numbers whose GCF is 972?"

What two numbers have a GCF of 973?
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