How do you find the GCF of 16, 56?
1 Answer
Answer:
The GCF is
Explanation:
Method 1  Subtraction
One method of finding the GCF of two positive numbers goes as follows:

If the two numbers are equal to the same value then that is the GCF.

Otherwise subtract the smaller number from the larger and repeat.
So in our example:
Given:

Subtract
#16# from#56# to get:#16, 40# 
Subtract
#16# from#40# to get:#16, 24# 
Subtract
#16# from#24# to get:#16, 8# 
Subtract
#8# from#16# to get:#8, 8#
So the GCF is
Method 2  Division
Given two numbers, you can find their GCF as follows:

Divide the larger number by the smaller to give a quotient and remainder.

If the remainder is
#0# then the smaller number is the GCF. 
Otherwise repeat with the smaller number and the remainder.
So in our example:
#56 / 16 = 3" "# with remainder#8#
#16 / 8 = 2" "# with remainder#0#
So the GCF is