Greatest Common Factor (GCF)

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Show your work for each problem.

1.
What is the GCF of and ?
1. a)6
2. b)3
3. c)18
4. d)9
2.
What is the GCF of and ?
3.
Find the GCF of and by listing factors.
4.
Which pair of numbers is relatively prime (GCF = 1)?
1. a)8 and 15
2. b)6 and 9
3. c)10 and 25
4. d)12 and 18
5.
What is the GCF of and ?
6.
Find the GCF of and using prime factorization.
7.
Simplify using the GCF.
1. a)
2. b)
3. c)
4. d)
8.
A florist has 36 roses and 48 tulips. She wants to make identical bouquets with no flowers left over. What is the maximum number of bouquets she can make?
9.
What is the GCF of and ?
10.
What is GCF(50, 100)?
1. a)100
2. b)25
3. c)50
4. d)10
11.
Find the GCF of , , and .
12.
What is GCF(72, 96)?
13.
Simplify to lowest terms using the GCF.
14.
A carpenter has boards of 84 cm and 126 cm. What is the longest equal piece she can cut from both with no waste?
1. a)21 cm
2. b)7 cm
3. c)42 cm
4. d)14 cm
15.
Find the GCF of and .
16.
What is GCF(45, 75)?