Name
Date
Problem 7: Finding GCF
A. List all the factors of 36 and 54.
36
54
Fill in the Venn diagram with
the factors of 36 and 54.
Factors of 36
Factors of 54
1.
What do the numbers in the intersection (the “overlap”) of the
Venn diagram have in common?
2.
List five numbers that can be placed outside of the circles. Why do
they belong outside of the circles?
3.
Explain how you can use your completed Venn diagram to find the
Greatest Common Factor of 36 and 54.
B. List all the factor pairs of 20 and 27. Then fill in the Venn diagram
and answer the questions below.
20
27
Factors of 20
Factors of 27
1.
What are the common factors of 20 and 27? Where do you find
them in the Venn diagram?
2.
What is the GCF of 20 and 27?
3.
Are those numbers relatively prime? Explain
C. List all the factors of 30 and 15. Fill in the Venn diagram.
30
15
Factors of 30
Factors of 15
1.
What is the GCF of 30 and 15?
2.
Do you notice anything unusual about the diagram? Explain.
Why do you think this happens?
3.
Are these numbers relatively prime? Explain