Grade 6 · Math

Find the greatest common factor

Find the greatest whole-number factor shared by two positive integers.

8 authored questions + worked example

Worked example

What is the greatest common factor of 12 and 18?

Answer & why

Answer: 6

6 divides both numbers. No greater whole number is a factor of both.

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All questions

All 8 authored questions for this skill.

Question 1

What is the greatest common factor of 36 and 60?

  1. 14
  2. 11
  3. 12
  4. 13
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 12

12 divides both numbers. No greater whole number is a factor of both.

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Question 2

What is the greatest common factor of 45 and 75?

  1. 15
  2. 17
  3. 16
  4. 14
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 15

15 divides both numbers. No greater whole number is a factor of both.

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Question 3

What is the greatest common factor of 12 and 18?

  1. 6
  2. 8
  3. 7
  4. 5
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 6

6 divides both numbers. No greater whole number is a factor of both.

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Question 4

What is the greatest common factor of 18 and 24?

  1. 8
  2. 7
  3. 6
  4. 5
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 6

6 divides both numbers. No greater whole number is a factor of both.

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Question 5

What is the greatest common factor of 20 and 30?

  1. 10
  2. 12
  3. 9
  4. 11
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 10

10 divides both numbers. No greater whole number is a factor of both.

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Question 6

What is the greatest common factor of 24 and 36?

  1. 11
  2. 13
  3. 14
  4. 12
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 12

12 divides both numbers. No greater whole number is a factor of both.

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Question 7

What is the greatest common factor of 28 and 42?

  1. 16
  2. 14
  3. 15
  4. 13
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 14

14 divides both numbers. No greater whole number is a factor of both.

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Question 8

What is the greatest common factor of 32 and 48?

  1. 16
  2. 15
  3. 17
  4. 18
A hint

List the factors or compare prime factorizations.

Answer & why

Answer: 16

16 divides both numbers. No greater whole number is a factor of both.

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