What two numbers have a GCF of 975?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 975.

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 975. Below is the beginning list of multiples of 975 (1 through 7) in numerical order.

1. 975
2. 1950
3. 2925
4. 3900
5. 4875
6. 5850
7. 6825
etc...

Two numbers that have a GCF of 975 can be 975 and any other number on the list above. Thus, two numbers that have a GCF of 975 are:

975 & 1950
975 & 2925
975 & 3900
etc...

That is not all! Any combination of any multiple of 975 and "odd" multiples of 975 will also have GCF of 975. 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 975.

1950 & 2925
1950 & 4875
3900 & 4875
3900 & 6825
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 975. 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 975, what are the numbers?" or "What are two numbers whose GCF is 975?"

What two numbers have a GCF of 976?
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