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To find the greatest common factor (GCF) of 324, 180, and 120 using prime factorization, we first break down each number into its prime factors.

324 = 2^2 * 3^4 180 = 2^2 * 3^2 * 5 120 = 2^3 * 3 * 5

Next, we identify the common prime factors among the numbers: 2^2, 3, and 5.

Multiplying these common prime factors together, we get the GCF: 2^2 * 3 * 5 = 60.

Therefore, the GCF of 324, 180, and 120 using prime factorization is 60.

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3mo ago

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