Download 2.3 Homework List the factors of each number. Then, determine the

2.3 Homework
List the factors of each number. Then, determine the greatest common factor.
1. 48, 20
2. 32, 56
3. 25, 36
4. 27, 18, 99
Write the prime factorization for each number. Then, determine the greatest common factor.
5. 56, 72
6. 54, 45
7. 8, 27, 35
8. 20, 90, 50
Use the scenario to answer each question.
9. Shanise is creating treat bags for her birthday party guests. She has 32 packs of gum, 24 bracelets, and 16
tiaras. What is the greatest number of treat bags she can make if she wants to use all of the items and have the
same number of each treat in each bag? How many of each treat will be in a bag?
10. Yuko is volunteering at the food bank. He is creating Thanksgiving food baskets to give to local families. He
has 192 cornbread muffins, 96 cans of vegetables, and 64 boxes of stuffing mix. What is the greatest number
of baskets Yuko can create if he wants to use all of the items and have the same number of each item in each
basket? How many of each item will be in a basket?
11. Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each
group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into
how many groups can the students be divided? How many boys and how many girls will be in each group?
2.3 Homework
Answer Section
1. ANS:
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 20: 1, 2, 4, 5, 10, 20
The greatest common factor of 48 and 20 is 4.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
2. ANS:
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
The greatest common factor of 32 and 56 is 8.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
3. ANS:
Factors of 25: 1, 5, 25
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The greatest common factor of 25 and 36 is 1. The numbers are relatively prime numbers.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
4. ANS:
Factors of 27: 1, 3, 9, 27
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 99: 1, 3, 9, 11, 33, 99
The greatest common factor of 27, 18, and 99 is 9.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
5. ANS:
The GCF of 56 and 72 is 8.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
6. ANS:
The GCF of 54 and 45 is 9.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
7. ANS:
The GCF of 8, 27, and 35 is 1. The numbers are relatively prime numbers.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
8. ANS:
The GCF of 20, 90, and 50 is 10.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
9. ANS:
Shanise can make 8 treat bags. Each bag will contain 4 packs of gum, 3 bracelets, and 2 tiaras.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
10. ANS:
Yuko can make 32 food baskets. Each basket will contain 6 cornbread muffins, 3 cans of vegetables, and 2
boxes of stuffing mix.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers
11. ANS:
Hector can divide the students into 7 groups. Each group will contain 3 boys and 8 girls.
PTS: 1
REF: 2.3
NAT: 6.NS.4
TOP: Skills Practice
KEY: common factor | greatest common factor (GCF) | relatively prime numbers