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# Greatest Common Factor (GCF)

Greatest Common Factor (GCF). Honors Math – Grade 6. Problem of the Day. Students are planting 18 forsythia and 24 lilac bushes around the school in groups of equal number. Each group must have the same type of bush. What is the greatest number of bushes the students can plant in each group?.

## Greatest Common Factor (GCF)

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1. Greatest Common Factor (GCF) Honors Math – Grade 6

2. Problem of the Day Students are planting 18 forsythia and 24 lilac bushes around the school in groups of equal number. Each group must have the same type of bush. What is the greatest number of bushes the students can plant in each group? What are the important facts? To find the greatest number of equal groupings, find the greatest common factor of 18 and 24. VOCABULARYALERT The Greatest CommonFactor of two or more numbers is the greatest number that is a factor of each of those numbers.

3. Find the GCF. To find the GCF… • To use the prime factorization to find the GCF: • Make a factor tree for each number. • Identify common prime factors. • Multiply common prime factors. 1. List all the factors of each #. 2. Identify the common factors. Using Factor Trees to find the GCF. 3. Choose the GCF.

4. Find the GCF of each set of numbers. 20 and 45 32 and 96 81 and 54 Using Factor Trees to find the GCF.

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