What two numbers have a GCF of 678?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 678.

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 678. Below is the beginning list of multiples of 678 (1 through 7) in numerical order.

1. 678
2. 1356
3. 2034
4. 2712
5. 3390
6. 4068
7. 4746
etc...

Two numbers that have a GCF of 678 can be 678 and any other number on the list above. Thus, two numbers that have a GCF of 678 are:

678 & 1356
678 & 2034
678 & 2712
etc...

That is not all! Any combination of any multiple of 678 and "odd" multiples of 678 will also have GCF of 678. 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 678.

1356 & 2034
1356 & 3390
2712 & 3390
2712 & 4746
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 678. 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 678, what are the numbers?" or "What are two numbers whose GCF is 678?"

What two numbers have a GCF of 679?
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