What two numbers have a GCF of 1829?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 1829.

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 1829. Below is the beginning list of multiples of 1829 (1 through 7) in numerical order.

1. 1829
2. 3658
3. 5487
4. 7316
5. 9145
6. 10974
7. 12803
etc...

Two numbers that have a GCF of 1829 can be 1829 and any other number on the list above. Thus, two numbers that have a GCF of 1829 are:

1829 & 3658
1829 & 5487
1829 & 7316
etc...

That is not all! Any combination of any multiple of 1829 and "odd" multiples of 1829 will also have GCF of 1829. 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 1829.

3658 & 5487
3658 & 9145
7316 & 9145
7316 & 12803
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 1829. 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 1829, what are the numbers?" or "What are two numbers whose GCF is 1829?"

What two numbers have a GCF of 1830?
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