Which of the following is the greatest common factor (GCF) of 48 and 180?

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Question: Which of the following is the greatest common factor (GCF) of 48 and 180?

Options:

Correct Answer: 12

Solution:

The GCF of 48 and 180 is 12.

Which of the following is the greatest common factor (GCF) of 48 and 180?

Which of the following is the greatest common factor (GCF) of 48 and 180?

Step 1: List the factors of 48. The factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Step 2: List the factors of 180. The factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
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.

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