What two numbers have a GCF of 1972?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1972.

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 1972. Below is the beginning list of multiples of 1972 (1 through 7) in numerical order.

1. 1972
2. 3944
3. 5916
4. 7888
5. 9860
6. 11832
7. 13804
etc...

Two numbers that have a GCF of 1972 can be 1972 and any other number on the list above. Thus, two numbers that have a GCF of 1972 are:

1972 & 3944
1972 & 5916
1972 & 7888
etc...

That is not all! Any combination of any multiple of 1972 and "odd" multiples of 1972 will also have GCF of 1972. 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 1972.

3944 & 5916
3944 & 9860
7888 & 9860
7888 & 13804
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1972. 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 1972, what are the numbers?" or "What are two numbers whose GCF is 1972?"

What two numbers have a GCF of 1973?
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