What is the Greatest Common Factor (GCF) of 1, 106, and 364?
Are you on the hunt for the GCF of 1, 106, and 364? 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, 106, and 364?":
GCF of 1, 106, and 364 = 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, 106, and 364 those factors look like this:
- Factors for 1: 1
- Factors for 106: 1, 2, 53, and 106
- Factors for 364: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, and 364
As you can see when you list out the factors of each number, 1 is the greatest number that 1, 106, and 364 divides into.
List out all of the prime factors for each number:
- Prime Factors for 1: 1
- Prime Factors for 106: 2 and 53
- Prime Factors for 364: 2, 2, 7, and 13
Now that we have the list of prime factors, we need to find any which are common for each number.
GCF = 1
Find the GCF Using Euclid's Algorithm
The final method for calculating the GCF of 1, 106, and 364 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.