What two numbers have a GCF of 1938?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1938.

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 1938. Below is the beginning list of multiples of 1938 (1 through 7) in numerical order.

1. 1938
2. 3876
3. 5814
4. 7752
5. 9690
6. 11628
7. 13566
etc...

Two numbers that have a GCF of 1938 can be 1938 and any other number on the list above. Thus, two numbers that have a GCF of 1938 are:

1938 & 3876
1938 & 5814
1938 & 7752
etc...

That is not all! Any combination of any multiple of 1938 and "odd" multiples of 1938 will also have GCF of 1938. 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 1938.

3876 & 5814
3876 & 9690
7752 & 9690
7752 & 13566
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1938. 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 1938, what are the numbers?" or "What are two numbers whose GCF is 1938?"

What two numbers have a GCF of 1939?
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