Factoring GCF

Front

What is the GCF (Greatest Common Factor)?

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 or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Factor the expression: 12j²k³ - 20hj

Back

4j(3jk³ - 5h)

Front

What is the first step in factoring out the GCF from an expression?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 10x + 10x² + 10x³ + 10x⁴ + 10x⁵

Back

10x(1 + x + x² + x³ + x⁴)

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

Factor the expression: 20p²q² - 25pm

Back

5p(4pq² - 5m)

Front

What is the GCF of the coefficients 12 and 20?

Back

The GCF is 4.

Front

Factor the expression: 2n³ + 16n + 12

Back

2(n³ + 8n + 6)

Front

What is the GCF of the terms 49m³q², -35mq², and -42m³q⁴p²?

Back

The GCF is 7mq².