What two numbers have a GCF of 2974?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2974.

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 2974. Below is the beginning list of multiples of 2974 (1 through 7) in numerical order.

1. 2974
2. 5948
3. 8922
4. 11896
5. 14870
6. 17844
7. 20818
etc...

Two numbers that have a GCF of 2974 can be 2974 and any other number on the list above. Thus, two numbers that have a GCF of 2974 are:

2974 & 5948
2974 & 8922
2974 & 11896
etc...

That is not all! Any combination of any multiple of 2974 and "odd" multiples of 2974 will also have GCF of 2974. 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 2974.

5948 & 8922
5948 & 14870
11896 & 14870
11896 & 20818
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2974. 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 2974, what are the numbers?" or "What are two numbers whose GCF is 2974?"

What two numbers have a GCF of 2975?
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