How do you find the GCF of 98 and 28?
1 Answer
Answer:
Explanation:
Here are a couple of methods:
Method 1  Division and remainder
To find the GCF of two numbers proceed as follows:

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

If the remainder is
#0# then the GCF is the smaller number. 
Otherwise repeat with the smaller number and remainder.
In our example, we find:
#98 / 28 = 3" "# with remainder#14#
#28 / 14 = 2" "# with remainder#0#
So the GCF of
Method 2  Prime factorisation
Factorise
So:
#98 = 2 xx 7 xx 7#
#28 = 2 xx 2 xx 7#
The common factors in the common multiplicities give us the GCF when multiplied:
#"GCF" = 2 xx 7 = 14#