What two numbers have a GCF of 2014?

Here we will explain and show you how to find what two numbers have the Greatest Common Factor (GCF) of 2014.

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 2014. Below is the beginning list of multiples of 2014 (1 through 7) in numerical order.

1. 2014
2. 4028
3. 6042
4. 8056
5. 10070
6. 12084
7. 14098
etc...

Two numbers that have a GCF of 2014 can be 2014 and any other number on the list above. Thus, two numbers that have a GCF of 2014 are:

2014 & 4028
2014 & 6042
2014 & 8056
etc...

That is not all! Any combination of any multiple of 2014 and "odd" multiples of 2014 will also have GCF of 2014. 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 2014.

4028 & 6042
4028 & 10070
8056 & 10070
8056 & 14098
etc...

Like we stated above, there are infinite combinations of two numbers whose GCF is 2014. The lists we created can go on forever.

Two numbers have a GCF of Calculator
Need the answer to a similar problem? Enter your GCF below to find the two numbers with that GCF.

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 2014, what are the numbers?" or "What are two numbers whose GCF is 2014?"

What two numbers have a GCF of 2015?
Need more knowledge? Go here for the next question we explained and solved.