What two numbers have a GCF of 2678?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2678.

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 2678. Below is the beginning list of multiples of 2678 (1 through 7) in numerical order.

1. 2678
2. 5356
3. 8034
4. 10712
5. 13390
6. 16068
7. 18746
etc...

Two numbers that have a GCF of 2678 can be 2678 and any other number on the list above. Thus, two numbers that have a GCF of 2678 are:

2678 & 5356
2678 & 8034
2678 & 10712
etc...

That is not all! Any combination of any multiple of 2678 and "odd" multiples of 2678 will also have GCF of 2678. 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 2678.

5356 & 8034
5356 & 13390
10712 & 13390
10712 & 18746
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2678. 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 2678, what are the numbers?" or "What are two numbers whose GCF is 2678?"

What two numbers have a GCF of 2679?
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