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 24and, and the GCF is 4.
  • BThe common factors are 1,2,4and, and the GCF is 4.
  • CThe common factors are 1,2,3,4,6,7,8,9,12,14,18,28,36,56and, and the GCF is 56.
  • DThe common factors are 1,2,4,8and, 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

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