Question

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?

7ab3  

6a4b

42a5b4

77a8b7

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Answer 1

7ab3 This is the answer, you are welcome

Answer 2

A)
`7ab^3`

Explanation:

The given terms are
`42a^5 b^3, 35a^3b^4 and 42ab^4`

Now we have to prime factorize the each term.

`42a^5b^3 = 2*3*7*a*a*a*a*a*b*b*b\\`

`35a^3b^4 = 5*7*a*a*a*b*b*b*b`

`42ab^4 = 2*3*7*a*b*b*b*b`

Now we have to find the common factors in all the three terms.

The greatest common is nothing but the highest common divisor of all terms

The common factor is all the three terms are : 7, a, b*b*b

So the greatest common factor of given terms = 7*a*b*b*b =
`7ab^3`