What two numbers have a GCF of 19?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 19.

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 19. Below is the beginning list of multiples of 19 (1 through 7) in numerical order.

1. 19
2. 38
3. 57
4. 76
5. 95
6. 114
7. 133
etc...

Two numbers that have a GCF of 19 can be 19 and any other number on the list above. Thus, two numbers that have a GCF of 19 are:

19 & 38
19 & 57
19 & 76
etc...

That is not all! Any combination of any multiple of 19 and "odd" multiples of 19 will also have GCF of 19. 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 19.

38 & 57
38 & 95
76 & 95
76 & 133
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 19. 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 19, what are the numbers?" or "What are two numbers whose GCF is 19?"

What two numbers have a GCF of 20?
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