- Prime Numbers Factors and Multiples
- Home
- Even and Odd Numbers
- Divisibility Rules for 2, 5, and 10
- Divisibility Rules for 3 and 9
- Factors
- Prime Numbers
- Prime Factorization
- Greatest Common Factor of 2 Numbers
- Greatest Common Factor of 3 Numbers
- Introduction to Distributive Property
- Understanding the Distributive Property
- Introduction to Factoring With Numbers
- Factoring a Sum or Difference of Whole Numbers
- Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Word Problem Involving the Least Common Multiple of 2 Numbers
Greatest Common Factor of 2 Numbers
To find the greatest common factor (gcf) of two given numbers,
- First we list all the factors of the two numbers.
- Then, we look for the common factors of these numbers.
- We find the greatest number among these common factors which will be the greatest common factor (gcf) of the two given numbers.
Find the greatest common factor of 16 and 24.
Solution
Step 1:
The factors of 16 and 24 are
16 = 1, 2, 4, 8, 16
24 = 1, 2, 3, 4, 6, 8, 12, 24
Step 2:
The common factors of 16 and 24 are shown in bold.
Step 3:
The greatest among these is 8. So the greatest common factor (gcf) of 16 and 24 is 8.
Find the greatest common factor of 84 and 108.
Solution
Step 1:
The factors of 84 and 108 are
84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
108 = 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Step 2:
The common factors of 84 and 108 are shown in bold.
Step 3:
The greatest among these is 12. So the greatest common factor (gcf) of 84 and 108 is 12.
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