What two numbers have a GCF of 251?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 251.

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 251. Below is the beginning list of multiples of 251 (1 through 7) in numerical order.

1. 251
2. 502
3. 753
4. 1004
5. 1255
6. 1506
7. 1757
etc...

Two numbers that have a GCF of 251 can be 251 and any other number on the list above. Thus, two numbers that have a GCF of 251 are:

251 & 502
251 & 753
251 & 1004
etc...

That is not all! Any combination of any multiple of 251 and "odd" multiples of 251 will also have GCF of 251. 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 251.

502 & 753
502 & 1255
1004 & 1255
1004 & 1757
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 251. 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 251, what are the numbers?" or "What are two numbers whose GCF is 251?"

What two numbers have a GCF of 252?
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