# Lesson Worksheet: Common Factors Mathematics

In this worksheet, we will practice finding the common factors and the greatest common factor of two or three whole numbers by listing their factors.

Q1:

Find the common factors of the numbers 27 and 90.

• A3, 9
• B1, 2, 3, 6, 9, 18
• C1, 3, 9
• D1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 90

Q2:

Find the greatest common factor of 63 and 42.

Q3:

Find the greatest common factor of 9 and 14.

Q4:

Find the common factors of 56 and 36 and state the GCF.

• AThe common factors are , and the GCF is 4.
• BThe common factors are , and the GCF is 4.
• CThe common factors are , and the GCF is 56.
• DThe common factors are , and the GCF is 8.

Q5:

What is the greatest common factor between the two numbers 51 and 53?

• A2
• B51
• C53
• D1

Q6:

True or False: The GCF of any two odd numbers is always odd.

• AFalse
• BTrue

Q7:

Can the greatest common factor of two numbers be 1?

• AYes
• BNo

Q8:

Find the greatest common factor of 21 and 10.

Q9:

Find the greatest common factor of 26 and 14.

Q10:

Naser says that the greatest common factor of 52 and 64 is less than the greatest common factor of 28 and 42. Is Naser correct?

• AYes
• BNo