What is the Greatest Common Factor (GCF) of 1, 7, and 125?

Are you on the hunt for the GCF of 1, 7, and 125? Since you're on this page I'd guess so! In this quick guide, we'll walk you through how to calculate the greatest common factor for any numbers you need to check. Let's jump in!

First off, if you're in a rush, here's the answer to the question "what is the GCF of 1, 7, and 125?":

GCF of 1, 7, and 125 = 1

What is the Greatest Common Factor?


  • Greatest Common Denominator (GCD)
  • Highest Common Factor (HCF)
  • Greatest Common Divisor (GCD)


For most school problems or uses, you can look at the factors of the numbers and find the greatest common factor that way. For 1, 7, and 125 those factors look like this:

  • Factors for 1: 1
  • Factors for 7: 1 and 7
  • Factors for 125: 1, 5, 25, and 125

As you can see when you list out the factors of each number, 1 is the greatest number that 1, 7, and 125 divides into.

Prime Factors


List out all of the prime factors for each number:

  • Prime Factors for 1: 1
  • Prime Factors for 7: 7
  • Prime Factors for 125: 5, 5, and 5



GCF = 1

Find the GCF Using Euclid's Algorithm

The final method for calculating the GCF of 1, 7, and 125 is to use Euclid's algorithm. This is a more complicated way of calculating the greatest common factor and is really only used by GCD calculators.

