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What is the greatest common divisor (GCD) of 24 and 36?
What is the greatest common divisor (GCD) of 24 and 36?
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Practice Questions
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Q1
What is the greatest common divisor (GCD) of 24 and 36?
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12
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The GCD of 24 and 36 can be found by listing the factors: 24 = 2^3 * 3, 36 = 2^2 * 3^2. The GCD is 2^2 * 3 = 12.
Questions & Step-by-step Solutions
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Q
Q: What is the greatest common divisor (GCD) of 24 and 36?
Solution:
The GCD of 24 and 36 can be found by listing the factors: 24 = 2^3 * 3, 36 = 2^2 * 3^2. The GCD is 2^2 * 3 = 12.
Steps: 5
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Step 1: List the factors of 24. The factors are 1, 2, 3, 4, 6, 8, 12, 24.
Step 2: List the factors of 36. The factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Step 3: Identify the common factors from both lists. The common factors are 1, 2, 3, 4, 6, 12.
Step 4: Find the greatest common factor from the common factors. The greatest common factor is 12.
Step 5: Therefore, the GCD of 24 and 36 is 12.
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