What two numbers have a GCF of 53?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 53.

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 53. Below is the beginning list of multiples of 53 (1 through 7) in numerical order.

1. 53
2. 106
3. 159
4. 212
5. 265
6. 318
7. 371
etc...

Two numbers that have a GCF of 53 can be 53 and any other number on the list above. Thus, two numbers that have a GCF of 53 are:

53 & 106
53 & 159
53 & 212
etc...

That is not all! Any combination of any multiple of 53 and "odd" multiples of 53 will also have GCF of 53. 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 53.

106 & 159
106 & 265
212 & 265
212 & 371
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 53. 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 53, what are the numbers?" or "What are two numbers whose GCF is 53?"

What two numbers have a GCF of 54?
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