What two numbers have a GCF of 105?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 105.

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 105. Below is the beginning list of multiples of 105 (1 through 7) in numerical order.

1. 105
2. 210
3. 315
4. 420
5. 525
6. 630
7. 735
etc...

Two numbers that have a GCF of 105 can be 105 and any other number on the list above. Thus, two numbers that have a GCF of 105 are:

105 & 210
105 & 315
105 & 420
etc...

That is not all! Any combination of any multiple of 105 and "odd" multiples of 105 will also have GCF of 105. 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 105.

210 & 315
210 & 525
420 & 525
420 & 735
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 105. 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 105, what are the numbers?" or "What are two numbers whose GCF is 105?"

What two numbers have a GCF of 106?
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