What two numbers have a GCF of 61?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 61.

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 61. Below is the beginning list of multiples of 61 (1 through 7) in numerical order.

1. 61
2. 122
3. 183
4. 244
5. 305
6. 366
7. 427
etc...

Two numbers that have a GCF of 61 can be 61 and any other number on the list above. Thus, two numbers that have a GCF of 61 are:

61 & 122
61 & 183
61 & 244
etc...

That is not all! Any combination of any multiple of 61 and "odd" multiples of 61 will also have GCF of 61. 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 61.

122 & 183
122 & 305
244 & 305
244 & 427
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 61. 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 61, what are the numbers?" or "What are two numbers whose GCF is 61?"

What two numbers have a GCF of 62?
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