What two numbers have a GCF of 252?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 252.

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 252. Below is the beginning list of multiples of 252 (1 through 7) in numerical order.

1. 252
2. 504
3. 756
4. 1008
5. 1260
6. 1512
7. 1764
etc...

Two numbers that have a GCF of 252 can be 252 and any other number on the list above. Thus, two numbers that have a GCF of 252 are:

252 & 504
252 & 756
252 & 1008
etc...

That is not all! Any combination of any multiple of 252 and "odd" multiples of 252 will also have GCF of 252. 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 252.

504 & 756
504 & 1260
1008 & 1260
1008 & 1764
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 252. 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 252, what are the numbers?" or "What are two numbers whose GCF is 252?"

What two numbers have a GCF of 253?
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