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Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, 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 of 12 and 18 is 6.

Front

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

Back

The first step is to identify the GCF of all the terms in the expression.

Front

Factor the expression 20x + 15.

Back

The GCF is 5, so the factored expression is 5(4x + 3).

Front

What is the GCF of the coefficients in the expression 8b - 32?

Back

The GCF of the coefficients 8 and -32 is 8.

Front

How do you check if your factored expression is correct?

Back

You can check by distributing the GCF back into the factored expression to see if you return to the original expression.

Front

What is the factored form of the expression 6 + 15?

Back

The factored form is 3(2 + 5).

Front

What is the GCF of 8 and 40?

Back

The GCF of 8 and 40 is 8.

Front

How do you factor the expression 12x + 6?

Back

First, find the GCF, which is 6, then factor it out to get 6(2x + 1).