Exploring GCF and LCM with Factor Trees

What is the greatest common factor (GCF)?

• The smallest integer that divides two or more given integers.

• The product of two or more given integers.

• The largest integer that divides two or more given integers.

• The sum of two or more given integers.

What does the greatest common monomial factor include?

• The smallest coefficient and the lowest degree of the variable.

• The largest coefficient and the highest degree of the variable.

• The product of the coefficients and variables.

• The sum of the coefficients and variables.

What is the first step in finding the GCF using the factor tree method?

• Break down the values into their prime factors.

• Multiply the given values.

• Add the given values.

• Divide the given values.

When finding the GCF, what do you look for between the values?

• The difference between the values.

• The product of the values.

• The common factors.

• The sum of the values.

What is the least common multiple (LCM)?

• The smallest product of two or more given integers.

• The smallest sum of two or more given integers.

• The largest sum of two or more given integers.

• The largest product of two or more given integers.

What must the LCM contain?

• The sum of the prime factors of all given values.

• Only the prime factors of the first value.

• Only the prime factors of the second value.

• The prime factors of all given values.

In the example of finding the GCF of 6s²T² and 9sT³, what is the GCF?

• 9sT³

• 3sT²

• 6s²T²

• 3sT

In the example of finding the LCM of 6s²T² and 9sT³, what is the LCM?

• 3sT²

• 9sT³

• 6s²T²

• 18s²T³

What is the GCF of 20aX³ and 30aBX?

• 30aBX

• 20aX³

• 5aX

• 10aX

What is the LCM of 4C³ and 8C?

• 4C³

• 8C

• 8C³

• 4C