What two numbers have a GCF of 525?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 525.

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 525. Below is the beginning list of multiples of 525 (1 through 7) in numerical order.

1. 525
2. 1050
3. 1575
4. 2100
5. 2625
6. 3150
7. 3675
etc...

Two numbers that have a GCF of 525 can be 525 and any other number on the list above. Thus, two numbers that have a GCF of 525 are:

525 & 1050
525 & 1575
525 & 2100
etc...

That is not all! Any combination of any multiple of 525 and "odd" multiples of 525 will also have GCF of 525. 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 525.

1050 & 1575
1050 & 2625
2100 & 2625
2100 & 3675
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 525. 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 525, what are the numbers?" or "What are two numbers whose GCF is 525?"

What two numbers have a GCF of 526?
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