Factoring GCF

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides all the numbers in a set 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 12 and 18?

Back

The GCF is 6.

Front

What is the GCF of the terms in the expression: 4x^2 + 8x?

Back

The GCF is 4x.

Front

What is the GCF of the polynomial: -9xy - 81xy - 18 - 45xy?

Back

The GCF is -9.

Front

How do you factor out the GCF from an expression?

Back

Divide each term by the GCF and write the expression as the GCF multiplied by the resulting polynomial.

Front

Factor the expression: 12j^2k^3 - 20hj.

Back

4j(3jk^3 - 5h).

Front

What is the GCF of the polynomial: 11(x - 3) + 22(x - 3)^2 + 55(x - 3)^5 + 66(x - 3)^4?

Back

The GCF is 11(x - 3).

Front

What is the GCF of the three terms in the expression: -96xy - 144x - 84?

Back

The GCF is -12.

Front

Factor the expression: 18a^2b^4c + 24ab^3c^2.

Back

6ab^3c(3ab + 4c).