What two numbers have a GCF of 749?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 749.

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 749. Below is the beginning list of multiples of 749 (1 through 7) in numerical order.

1. 749
2. 1498
3. 2247
4. 2996
5. 3745
6. 4494
7. 5243
etc...

Two numbers that have a GCF of 749 can be 749 and any other number on the list above. Thus, two numbers that have a GCF of 749 are:

749 & 1498
749 & 2247
749 & 2996
etc...

That is not all! Any combination of any multiple of 749 and "odd" multiples of 749 will also have GCF of 749. 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 749.

1498 & 2247
1498 & 3745
2996 & 3745
2996 & 5243
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 749. 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 749, what are the numbers?" or "What are two numbers whose GCF is 749?"

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