What two numbers have a GCF of 676?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 676.

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 676. Below is the beginning list of multiples of 676 (1 through 7) in numerical order.

1. 676
2. 1352
3. 2028
4. 2704
5. 3380
6. 4056
7. 4732
etc...

Two numbers that have a GCF of 676 can be 676 and any other number on the list above. Thus, two numbers that have a GCF of 676 are:

676 & 1352
676 & 2028
676 & 2704
etc...

That is not all! Any combination of any multiple of 676 and "odd" multiples of 676 will also have GCF of 676. 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 676.

1352 & 2028
1352 & 3380
2704 & 3380
2704 & 4732
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 676. 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 676, what are the numbers?" or "What are two numbers whose GCF is 676?"

What two numbers have a GCF of 677?
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