# Lesson Worksheet: The Greatest Common Factor Mathematics

In this worksheet, we will practice finding the greatest common factor of two or more numbers by writing all the factors of these numbers.

Q1:

Find the greatest common factor of 7, 15, and 21.

Q2:

Find the greatest common factor of 110, 40, and 120.

Q3:

What is the greatest common factor of 17, 11, and 19?

Q4:

Find the GCF of 63, 90, and 30.

Q5:

Which of the following sets of numbers has a GCF that is equal to one of its numbers?

• A
• B
• C
• D
• E

Q6:

Madison wants to make beauty packages as Christmas presents for her close friends. She has 16 lavender oil bottles, 24 bath bombs, and 14 bars of natural soap. If each package contains the same quantity of each item, and she shares out all of the items, determine the greatest number of packages Madison can make, and then determine the number of items in each one.

• A2 packages, 7 lavender oil bottles, 6 bath bombs, 8 bars of natural soap
• B4 packages, 3 lavender oil bottles, 6 bath bombs, 4 bars of natural soap
• C2 packages, 8 lavender oil bottles, 12 bath bombs, 7 bars of natural soap
• D3 packages, 14 lavender oil bottles, 24 bath bombs, 16 bars of natural soap
• E6 packages, 2 lavender oil bottles, 4 bath bombs, 2 bars of natural soap

Q7:

A chocolate maker wants to use up all of her leftover creations by selling them in boxes. She has 490 milk, 140 white, and 350 dark chocolates.

Given that all the boxes need to have exactly the same content, what is the greatest number of boxes she can create?

How many of each type of chocolate are in each box?

• A7 milk, 14 white, and 35 dark chocolates
• B49 milk, 14 white, and 35 dark chocolates
• C14 milk, 4 white, and 10 dark chocolates
• D7 milk, 2 white, and 5 dark chocolates
• E7 milk, 2 white, and 35 dark chocolates

Q8:

Look at the following numbers: 12, 36, 42, 54, and 72. Which three of these numbers have a greatest common factor of 18?

• A12, 36, and 72
• B36, 54, and 42
• C36, 54, and 72
• D54, 36, and 42
• E12, 36, and 42

Q9:

The table shows the amounts of money that were raised for charity by selling various items in three different events. If all items were of the same price and under \$10, find the maximum possible item’s price, and then determine how many items were sold in each event.

 Show Sales Event A Event B Event C \$1,345 \$1,135 \$1,950
• Aitem price: \$5, Event A: 269 items, Event B: 227 items, Event C: 390 items
• Bitem price: \$5, Event A: 269 items, Event B: 236 items, Event C: 395 items
• Citem price: \$6, Event A: 269 items, Event B: 227 items, Event C: 390 items
• Ditem price: \$6, Event A: 269 items, Event B: 227 items, Event C: 395 items
• Eitem price: \$5, Event A: 269 items, Event B: 227 items, Event C: 395 items

Q10:

Which of the following choices represents three numbers whose greatest common factor is 17?

• A102, 204, 510
• B119, 238, 357
• C238, 204, 136
• D357, 306, 204
• E119, 102, 68

This lesson includes 16 additional questions and 171 additional question variations for subscribers.