What is the greatest common factor of 90, 36, 54 and 18?
Question
What is the greatest common factor of 90, 36, 54 and 18?
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Solution
To find the greatest common factor (GCF) of 90, 36, 54, and 18, follow these steps:
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First, find the factors of each number:
- The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
- The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
- The factors of 18 are: 1, 2, 3, 6, 9, 18
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Next, identify the common factors of these numbers:
- The common factors are: 1, 2, 3, 6, 9, 18
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The greatest of these common factors is 18.
So, the greatest common factor of 90, 36, 54, and 18 is 18.
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