What is the Greatest Common Factor (GCF) of 2 and 336?
Are you on the hunt for the GCF of 2 and 336? 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 2 and 336?":
GCF of 2 and 336 = 2
What is the Greatest Common Factor?
- Greatest Common Denominator (GCD)
- Highest Common Factor (HCF)
- Greatest Common Divisor (GCD)
For 2 and 336 those factors look like this:
- Factors for 2: 1 and 2
- Factors for 336: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, and 336
As you can see when you list out the factors of each number, 2 is the greatest number that 2 and 336 divides into.
List out all of the prime factors for each number:
- Prime Factors for 2: 2
- Prime Factors for 336: 2, 2, 2, 2, 3, and 7
Now that we have the list of prime factors, we need to find any which are common for each number.
In this case, there is only one common prime factor, 2. Since there are no others, the greatest common factor is this prime factor:
GCF = 2
Find the GCF Using Euclid's Algorithm
The final method for calculating the GCF of 2 and 336 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.
Cite, Link, or Reference This Page
"Greatest Common Factor of 2 and 336". VisualFractions.com. Accessed on January 16, 2021. https://visualfractions.com/calculator/greatest-common-factor/gcf-of-2-and-336/.
"Greatest Common Factor of 2 and 336". VisualFractions.com, https://visualfractions.com/calculator/greatest-common-factor/gcf-of-2-and-336/. Accessed 16 January, 2021.
Greatest Common Factor of 2 and 336. VisualFractions.com. Retrieved from https://visualfractions.com/calculator/greatest-common-factor/gcf-of-2-and-336/.