What two numbers have a GCF of 421?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 421.

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 421. Below is the beginning list of multiples of 421 (1 through 7) in numerical order.

1. 421
2. 842
3. 1263
4. 1684
5. 2105
6. 2526
7. 2947
etc...

Two numbers that have a GCF of 421 can be 421 and any other number on the list above. Thus, two numbers that have a GCF of 421 are:

421 & 842
421 & 1263
421 & 1684
etc...

That is not all! Any combination of any multiple of 421 and "odd" multiples of 421 will also have GCF of 421. 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 421.

842 & 1263
842 & 2105
1684 & 2105
1684 & 2947
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 421. 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 421, what are the numbers?" or "What are two numbers whose GCF is 421?"

What two numbers have a GCF of 422?
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