What is the greatest common factor of the monomials 72a3b2 and 86a?

Answer 1

2. The method to calculate the highest/greatest common factor aka HCF is to first get the numbers' prime factorizations and then multiply them. For example the numbers are 15,75 & 60. So,

Prime factorization:

15=3*5

75=3*5*5

60=2*2*3*5

In this 3*5 is common in all the factorization, therefore the HCF=3*5 or 15.

Answer 2

The GCF of 76 and 86 is 2. You draw a factor tree..

76 86

2x38 2x43

2x19

When the number is prime you circle it and so on 76, 2x38, 2 is prime and so you break up 38 to 2x19 and they are both *prime numbers. On 86 both 2 and 43 are prime and so you would just keep them two. and the only number they haave in common is two.

* Prime number- A number than can only be multiplied by one to get it self.

Answer 3

The GCF is: 2

Answer 4

The GCF is 2a.

Answer 5

2a

Answer 6

6a