Let's try one.
30x2y3z4 + 42x4y5z2
Do the numbers first.
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6
For the variables, select the lowest exponents.
The GCF of the above expression is 6x2y3z2
To factor the expression 81r + 48rt, we first find the greatest common factor of the two terms, which is 3r. We then factor out this common factor to get 3r(27 + 16t). This is the factored form of the expression 81r + 48rt.
4n2 is one expression. You need at least two to find a GCF
You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.
The Greatest Common Factor (GCF) is: 12
The greatest common factor (GCF) is 5.
The greatest common factor (GCF) is 4.
The greatest common factor (GCF) is 3.
The greatest common factor (GCF) is 2.
The only factor they have in common is 1. It has to be the greatest.
There is no Greatest Common Factor (GCF) for a single number. The Greatest Common Factor (GCF) is the largest factor common to two or more given numbers.
4xy4xy 12xy2*2xy 2*2*3xy4xy(1+/-3)
To find the common factor when factorising, look for any common factors that can be divided evenly from all the terms in the expression. Divide each term by this common factor, and then factorise the resulting expression further if possible. This will help simplify the expression and make it easier to work with.