What two numbers have a GCF of 312?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 312.

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 312. Below is the beginning list of multiples of 312 (1 through 7) in numerical order.

1. 312
2. 624
3. 936
4. 1248
5. 1560
6. 1872
7. 2184
etc...

Two numbers that have a GCF of 312 can be 312 and any other number on the list above. Thus, two numbers that have a GCF of 312 are:

312 & 624
312 & 936
312 & 1248
etc...

That is not all! Any combination of any multiple of 312 and "odd" multiples of 312 will also have GCF of 312. 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 312.

624 & 936
624 & 1560
1248 & 1560
1248 & 2184
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 312. 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 312, what are the numbers?" or "What are two numbers whose GCF is 312?"

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