Factoring out GCFs

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 4 and 18?

Back

The GCF is 2.

Front

What is the GCF of 12 and 9?

Back

The GCF is 3.

Front

What is the GCF of 4k and 18k^4?

Back

The GCF is 2k.

Front

What is the GCF of 12a and 9a^2?

Back

The GCF is 3a.

Front

How do you factor out the GCF from an expression?

Back

Identify the GCF of the terms, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

Factor out the GCF from 300m^2 + 120m.

Back

60m(5m + 2).

Front

What is the perimeter of a square in terms of its side length?

Back

The perimeter P of a square is given by P = 4s, where s is the side length.

Front

If a square has a perimeter of 12x + 52, what is the expression for the side length?

Back

The side length is 3x + 13.