Introduction to Factoring Polynomials: example 10.80

Find the greatest common factor of $24$ and $36 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find the greatest common factor: $54, 36 .$

How did it go?

Step 1: Factor each coefficient into primes. Write all variables with exponents in expanded form.	Factor 24 and 36.
Step 2: List all factors--matching common factors in a column.
In each column, circle the common factors.	Circle the 2, 2, and 3 that are shared by both numbers.
Step 3: Bring down the common factors that all expressions share.	Bring down the 2, 2, 3 and then multiply.
Step 4: Multiply the factors.		The GCF of 24 and 36 is 12.

Step 1: Factor each coefficient into primes. Write all variables with exponents in expanded form.	Factor 24 and 36.
Step 2: List all factors--matching common factors in a column.
In each column, circle the common factors.	Circle the 2, 2, and 3 that are shared by both numbers.
Step 3: Bring down the common factors that all expressions share.	Bring down the 2, 2, 3 and then multiply.
Step 4: Multiply the factors.		The GCF of 24 and 36 is 12.