Factoring GCF

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

1. List the prime factors of each number. 2. Identify the common factors. 3. Multiply the common factors to find the GCF.

Front

What is prime factorization?

Back

Prime factorization is expressing a number as the product of its prime factors.

Front

Find the prime factorization of 60.

Back

2^2 x 3 x 5

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the expression: 4x^2 + 8x.

Back

4x(x + 2)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions that can be multiplied together to get the original expression.

Front

Factor the expression: 15x^2 + 10x.

Back

5x(3x + 2)

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

Factor the expression: 9y^2 + 12y.

Back

3y(3y + 4)