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Find the GCF. 8a^3b^5c^2 and 12a^2b^3c^2 A 4ab^2c^2 B 4a^2b^3c^2 C 4abc D 4a^2b^2c^2

Question

Find the GCF. 8a^3b^5c^2 and 12a^2b^3c^2 A 4ab^2c^2 B 4a^2b^3c^2 C 4abc D 4a^2b^2c^2

Solution

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Answer

### B.

Explanation

## Step 1: Find the GCF of the coefficients.### The coefficients are 8 and 12. The factors of 8 are 1, 2, 4, and 8. The factors of 12 are 1, 2, 3, 4, 6, and 12. The greatest common factor of 8 and 12 is 4.## Step 2: Find the GCF of the variables.### For each variable, choose the smallest exponent. The variables are , , and . The smallest exponent of is . The smallest exponent of is . The smallest exponent of is .## Step 3: Combine the GCF of the coefficients and variables.### The GCF of the coefficients is 4. The GCF of the variables is . Combining these gives .