Greatest Common Factor Concepts

This video tutorial explains how to determine the greatest common factor (GCF) of two or three integers, also known as the greatest common divisor (GCD). It demonstrates using the TI-84 calculator to find the GCF of two numbers and provides examples of factoring expressions by identifying the GCF. The video covers factoring the expression 60x - 72 and a polynomial with multiple terms, highlighting the process of using the GCF to simplify expressions.

What is another name for the Greatest Common Factor?

• Highest Common Multiple

• Greatest Common Divisor

• Least Common Multiple

• Lowest Common Divisor

Which command is used on the TI-84 calculator to find the GCF?

• DIVIDE

• FACTOR

• GCD

• LCM

What is the GCF of 60 and 72?

• 8

• 10

• 6

• 12

How can 60x be expressed using the GCF of 12?

• 12 times 3x

• 12 times 5x

• 12 times 6x

• 12 times 4x

What is the result after factoring out the GCF from 60x - 72?

• 12(5x + 6)

• 12(5x - 6)

• 12(6x - 5)

• 12(6x + 5)

What is the GCF of the coefficients 56, 32, and 24?

• 6

• 4

• 8

• 10

How many factors of x are common in the terms 56x^15, 32x^10, and 24x^5?

• 6

• 5

• 4

• 3

What is the GCF of the expression 56x^15 + 32x^10 + 24x^5?

• 8x^6

• 8x^5

• 8x^4

• 8x^3

How is 56x^15 expressed using the GCF 8x^5?

• 8x^5 times 6x^10

• 8x^5 times 9x^10

• 8x^5 times 8x^10

• 8x^5 times 7x^10

What is the final factored form of the expression 56x^15 + 32x^10 + 24x^5?

• 8x^5(6x^10 + 5x^5 + 3)

• 8x^5(6x^10 + 4x^5 + 3)

• 8x^5(7x^10 + 5x^5 + 3)

• 8x^5(7x^10 + 4x^5 + 3)