Greatest Common Factor
Name: ____________________________________
Greatest Common Factor
When you find all the factors of two or more numbers, and
you find some factors are the same ("common"), the largest of those common factors is the Greatest Common Factor (GCF).
What are the factors of 12?
1, 2, 3, 4, 6, and 12
What are the factors of 20?
1, 2, 4, 5, 10, and 20
Which are the common factors? 1, 2, and 4
What is the GCF?
4
1. Find the GCF of 8 and 12.
List the factors of 8.
__________________
List the common factors. __________________
List the factors of 12. __________________ What is the GCF? __________________
2. Find the GCF of 15 and 20.
List the factors of 15.
__________________
List the common factors. __________________
List the factors of 20. __________________ What is the GCF? ___________________
3. Find the GCF of 21 and 35.
List the factors of 21.
__________________
List the common factors. __________________
List the factors of 35. __________________ What is the GCF? ___________________
4. Find the GCF of 6 and 18.
List the factors of 6.
__________________
List the common factors. __________________
List the factors of 18. __________________ What is the GCF? ___________________
Super Teacher Worksheets -
ANSWER KEY Greatest Common Factor
When you find all the factors of two or more numbers, and
you find some factors are the same ("common"), the largest of those common factors is the Greatest Common Factor (GCF).
What are the factors of 12?
1, 2, 3, 4, 6, and 12
What are the factors of 20?
1, 2, 4, 5, 10, and 20
Which are the common factors? 1, 2, and 4
What is the GCF?
4
1. Find the GCF of 8 and 12.
List the factors of 8.
1, 2, 4, 8
List the common factors. 1, 2, 4
List the factors of 12. 1, 2, 3, 4, 6, 12 What is the GCF? 4
2. Find the GCF of 15 and 20.
List the factors of 15.
1, 3, 5, 15
List the common factors. 1 and 5
List the factors of 20. 1, 2, 4, 5, 10, 20 What is the GCF? 5
3. Find the GCF of 21 and 35.
List the factors of 21.
1, 3, 7, 21
List the common factors. 1 and 7
List the factors of 35. 1, 5, 7, and 35 What is the GCF? 7
4. Find the GCF of 6 and 18.
List the factors of 6.
1, 2, 3, 6
List the common factors. 1, 2, 3, 6
List the factors of 18. What is the GCF?
Super Teacher Worksheets -
1, 2, 3, 6, 9, 18
6
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