Factoring GCF

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more 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 they have in common.

Front

What is the GCF of 12 and 16?

Back

The GCF is 4.

Front

What is the GCF of 18k and 15k³?

Back

The GCF is 3k.

Front

Factor the expression: -10xy⁹z + 8y³z⁵

Back

2y³z(-5xy⁶ + 4z⁴).

Front

Factor the expression: 12j²k³ - 20hj

Back

4j(3jk³ - 5h).

Front

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

Back

The GCF is -9.

Front

Factor the expression: -8x²y² + 32yz + 40y

Back

8y(-x²y + 4z + 5).

Front

What is the GCF of 24 and 36?

Back

The GCF is 12.

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.