What two numbers have a GCF of 5250?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 5250.

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 5250. Below is the beginning list of multiples of 5250 (1 through 7) in numerical order.

1. 5250
2. 10500
3. 15750
4. 21000
5. 26250
6. 31500
7. 36750
etc...

Two numbers that have a GCF of 5250 can be 5250 and any other number on the list above. Thus, two numbers that have a GCF of 5250 are:

5250 & 10500
5250 & 15750
5250 & 21000
etc...

That is not all! Any combination of any multiple of 5250 and "odd" multiples of 5250 will also have GCF of 5250. 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 5250.

10500 & 15750
10500 & 26250
21000 & 26250
21000 & 36750
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 5250. 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 5250, what are the numbers?" or "What are two numbers whose GCF is 5250?"

What two numbers have a GCF of 5251?
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