# How do you find the greatest common factor of 80, 16?

##### 1 Answer

Nov 1, 2016

#### Answer:

The Greatest Common Factor of 80, 16 is **16**

#### Explanation:

Method suggested :

- Find the prime factors of each number :

- Find the common prime factors : in this case there's only
**2** - If you have many, take the smaller of the exponents of theses common prime factors and multiply them together to find the
**GCF**, for this example#GCF = 2^4 = 16#

Example : Find the GCF of 90, 24

- The common factor primes are
**2**and**3** - The smaller exponents of each are
#2^1 and 3^1# - Multiply those and the
#GCF = 3^1xx2^1=6#

I hope that was clear, you can find more in the link below :

**Source** :

(http://www.coolmath.com/prealgebra/01-gcfs-lcms/02-greatest-common-factors-03)