What is the Greatest Common Factor (GCF) of 5 and 748?
Are you on the hunt for the GCF of 5 and 748? 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 5 and 748?":
GCF of 5 and 748 = 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 5 and 748 those factors look like this:
- Factors for 5: 1 and 5
- Factors for 748: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, and 748
As you can see when you list out the factors of each number, 1 is the greatest number that 5 and 748 divides into.
List out all of the prime factors for each number:
- Prime Factors for 5: 5
- Prime Factors for 748: 2, 2, 11, and 17
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 5 and 748 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.