What two numbers have a GCF of 31?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 31.

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 31. Below is the beginning list of multiples of 31 (1 through 7) in numerical order.

1. 31
2. 62
3. 93
4. 124
5. 155
6. 186
7. 217
etc...

Two numbers that have a GCF of 31 can be 31 and any other number on the list above. Thus, two numbers that have a GCF of 31 are:

31 & 62
31 & 93
31 & 124
etc...

That is not all! Any combination of any multiple of 31 and "odd" multiples of 31 will also have GCF of 31. 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 31.

62 & 93
62 & 155
124 & 155
124 & 217
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 31. 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 31, what are the numbers?" or "What are two numbers whose GCF is 31?"

What two numbers have a GCF of 32?
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