What two numbers have a GCF of 1970?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1970.

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 1970. Below is the beginning list of multiples of 1970 (1 through 7) in numerical order.

1. 1970
2. 3940
3. 5910
4. 7880
5. 9850
6. 11820
7. 13790
etc...

Two numbers that have a GCF of 1970 can be 1970 and any other number on the list above. Thus, two numbers that have a GCF of 1970 are:

1970 & 3940
1970 & 5910
1970 & 7880
etc...

That is not all! Any combination of any multiple of 1970 and "odd" multiples of 1970 will also have GCF of 1970. 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 1970.

3940 & 5910
3940 & 9850
7880 & 9850
7880 & 13790
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1970. 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 1970, what are the numbers?" or "What are two numbers whose GCF is 1970?"

What two numbers have a GCF of 1971?
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