Question

practice
use any method to find the greatest common factor of each pair of
numbers. (examples 1 and 2)

1. 12, 30 \t\t 2. 4, 16 \t\t 3. 9, 36
2. 35, 63 \t\t 5. 42, 56 \t\t 6. 54, 81
3. on every fourth visit to the hair salon, margot receives a discount of $5. on every

tenth visit, she receives a free hair product.
after how many visits will margot receive the
discount and a free product at the same
time? (example 3)

1. the table shows the city bus schedule for

certain bus lines. both buses are at the bus
stop right now. in how many minutes will
both buses be at the bus stop again?
(example 3)

bus line	arrives at the bus stop every...
b	15 minutes

use any method to find the least common multiple of each pair of
numbers. (example 4)

1. 4, 6 \t\t 10. 3, 5

test practice

Explanation:

Problem 1: Find GCF of 12 and 30

Step1: List factors of 12

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

Step2: List factors of 30

Factors of 30: \(1, 2, 3, 5, 6, 10, 15, 30\)

Step3: Identify common factors

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

Step4: Find the greatest common factor

Greatest common factor is \(6\)

Step1: List factors of 4

Factors of 4: \(1, 2, 4\)

Step2: List factors of 16

Factors of 16: \(1, 2, 4, 8, 16\)

Step3: Identify common factors

Common factors: \(1, 2, 4\)

Step4: Find the greatest common factor

Greatest common factor is \(4\)

Step1: List factors of 9

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

Step2: List factors of 36

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

Step3: Identify common factors

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

Step4: Find the greatest common factor

Greatest common factor is \(9\)

Answer:

6

Problem 2: Find GCF of 4 and 16