What two numbers have a GCF of 428?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 428.

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 428. Below is the beginning list of multiples of 428 (1 through 7) in numerical order.

1. 428
2. 856
3. 1284
4. 1712
5. 2140
6. 2568
7. 2996
etc...

Two numbers that have a GCF of 428 can be 428 and any other number on the list above. Thus, two numbers that have a GCF of 428 are:

428 & 856
428 & 1284
428 & 1712
etc...

That is not all! Any combination of any multiple of 428 and "odd" multiples of 428 will also have GCF of 428. 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 428.

856 & 1284
856 & 2140
1712 & 2140
1712 & 2996
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 428. 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 428, what are the numbers?" or "What are two numbers whose GCF is 428?"

What two numbers have a GCF of 429?
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