Factor GCF (Algebra)

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

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the GCF of 18, 24, and 30?

Back

The GCF of 18, 24, and 30 is 6.

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, divide each term of the expression by the GCF and write it outside the parentheses.

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 6x + 9.

Back

3(2x + 3).

Tags

CCSS.7.EE.A.1

Front

Factor the expression: 15xy + 25x.

Back

5x(3y + 5).

Front

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

Back

The GCF of the coefficients 4 and 8 is 4.

Front

Factor the expression: 8a^3b + 12a^2b^2.

Back

4a^2b(2a + 3b).

Front

What is the GCF of 20, 30, and 50?

Back

The GCF of 20, 30, and 50 is 10.