What two numbers have a GCF of 1408?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1408.

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 1408. Below is the beginning list of multiples of 1408 (1 through 7) in numerical order.

1. 1408
2. 2816
3. 4224
4. 5632
5. 7040
6. 8448
7. 9856
etc...

Two numbers that have a GCF of 1408 can be 1408 and any other number on the list above. Thus, two numbers that have a GCF of 1408 are:

1408 & 2816
1408 & 4224
1408 & 5632
etc...

That is not all! Any combination of any multiple of 1408 and "odd" multiples of 1408 will also have GCF of 1408. 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 1408.

2816 & 4224
2816 & 7040
5632 & 7040
5632 & 9856
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1408. 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 1408, what are the numbers?" or "What are two numbers whose GCF is 1408?"

What two numbers have a GCF of 1409?
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