Question

name
lesson 4.4 factors and multiples
find the greatest common factor of two or more numbers by looking at the factors two numbers share and then figuring out which is the greatest.
list the factors of 8 and 16.
8: 1, 2, 4, 8
16: 1, 2, 4, 8, 16
8 and 16 have 1, 2, 4, and 8 in common.
8 is the greatest common factor (gcf).
find the greatest common factor of each pair of numbers.

1. 14 and 42
2. 27 and 18
3. 36 and 24
4. 45 and 20
5. 72 and 54
6. 42 and 49
7. 72 and 96
8. 66 and 11
9. 12 and 36

Explanation:

1. 14 and 42

Step1: List factors of 14

Factors of 14: \(1, 2, 7, 14\)

Step2: List factors of 42

Factors of 42: \(1, 2, 3, 6, 7, 14, 21, 42\)

Step3: Find common factors

Common factors: \(1, 2, 7, 14\)

Step4: Identify GCF

Greatest common factor is \(14\)

Step1: List factors of 27

Factors of 27: \(1, 3, 9, 27\)

Step2: List factors of 18

Factors of 18: \(1, 2, 3, 6, 9, 18\)

Step3: Find common factors

Common factors: \(1, 3, 9\)

Step4: Identify GCF

Greatest common factor is \(9\)

Step1: List factors of 36

Factors of 36: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)

Step2: List factors of 24

Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)

Step3: Find common factors

Common factors: \(1, 2, 3, 4, 6, 12\)

Step4: Identify GCF

Greatest common factor is \(12\)

Answer:

14

2. 27 and 18