What two numbers have a GCF of 278?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 278.

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 278. Below is the beginning list of multiples of 278 (1 through 7) in numerical order.

1. 278
2. 556
3. 834
4. 1112
5. 1390
6. 1668
7. 1946
etc...

Two numbers that have a GCF of 278 can be 278 and any other number on the list above. Thus, two numbers that have a GCF of 278 are:

278 & 556
278 & 834
278 & 1112
etc...

That is not all! Any combination of any multiple of 278 and "odd" multiples of 278 will also have GCF of 278. 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 278.

556 & 834
556 & 1390
1112 & 1390
1112 & 1946
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 278. 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 278, what are the numbers?" or "What are two numbers whose GCF is 278?"

What two numbers have a GCF of 279?
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