What is the GCF of the terms of 8c3 + 12c2 + 10c

The GCF of the terms is 2c

Step-by-step explanation:

Greatest common factor:

To find the gcf of the expression, we find the gcf separately for the numbers and for the powers of c, and then multiply them.

Numbers:

8, 12 and 10.

Dividing them all by prime factors:

8 - 12 - 10|2

4 - 6 - 5

5 is not divisible by 2, so we stop there, and the gcf of the numbers is 2.

Powers of c:

Powers of c are 1, 2 and 3. The gcf of 1,2,3 is 1, as there is not a number that is divisible by all of 1,2,3 other than 1. So the gcf for the powers of c is c^1 = c.

GCF of the expression:

2*c = 2c

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