Question

6k^3, 8k^3 what is the greatest common factor

Write your answer as a constant time a product of single variables raised to exponents

Answer 1

$\text{GCF of } 6k^3 \text{ and } 8k^3 \text{ is } 2k^3$

Solution:

Given expressions are:

$6k^3 \text{ and } 8k^3$

We have to find the greatest common factor

When we find all the factors of two or more numbers, and some factors are the same , then the largest of those common factors is the Greatest Common Factor

First find GCF of number and then GCF of variable and then mulyiply them both

Let us first find the G.C.F of 6 and 8

The factors of 6 are: 1, 2, 3, 6

The factors of 8 are: 1, 2, 4, 8

Then the greatest common factor is 2

Thus, GCF of 6 and 8 is 2

Now find the gcf of variables

$6k^3 \text{ and } 8k^3$

$k^3$ is common in both the terms

Thus the GCF of $6k^3 \text{ and } 8k^3$ is:

Multiply gcf of 6 and 8 and gcf of variable

$\text{GCF of } 6k^3 \text{ and } 8k^3 \text{ is } 2k^3$