What is the Greatest Common Factor (GCF) of 30 and 1271?
Are you on the hunt for the GCF of 30 and 1271? 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 30 and 1271?":
GCF of 30 and 1271 = 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 30 and 1271 those factors look like this:
- Factors for 30: 1, 2, 3, 5, 6, 10, 15, and 30
- Factors for 1271: 1, 31, 41, and 1271
As you can see when you list out the factors of each number, 1 is the greatest number that 30 and 1271 divides into.
List out all of the prime factors for each number:
- Prime Factors for 30: 2, 3, and 5
- Prime Factors for 1271: 31 and 41
Now that we have the list of prime factors, we need to find any which are common for each number.
Since there are no common prime factors between the numbers above, this means the greatest common factor is 1:
GCF = 1
Find the GCF Using Euclid's Algorithm
The final method for calculating the GCF of 30 and 1271 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.