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Identify the greatest common factor of 12b^4 and 48b^3.

Identify the greatest common factor of 12b^4 and 48b^3.

Answer

To find the greatest common factor (GCF) of 12b⁴ and 48b³, we first find the GCF of the coefficients 12 and 48, and then the lowest power of b.

The factors of 12 are 1, 2, 3, 4, 6, 12.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
The GCF of 12 and 48 is 12.
The lowest power of b in b⁴ and b³ is b³.

Therefore, the GCF of 12b⁴ and 48b³ is 12b³.

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