What two numbers have a GCF of 3400?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 3400.

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 3400. Below is the beginning list of multiples of 3400 (1 through 7) in numerical order.

1. 3400
2. 6800
3. 10200
4. 13600
5. 17000
6. 20400
7. 23800
etc...

Two numbers that have a GCF of 3400 can be 3400 and any other number on the list above. Thus, two numbers that have a GCF of 3400 are:

3400 & 6800
3400 & 10200
3400 & 13600
etc...

That is not all! Any combination of any multiple of 3400 and "odd" multiples of 3400 will also have GCF of 3400. 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 3400.

6800 & 10200
6800 & 17000
13600 & 17000
13600 & 23800
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 3400. 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 3400, what are the numbers?" or "What are two numbers whose GCF is 3400?"

What two numbers have a GCF of 3401?
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