How do you find the greatest common factor of 72, 48, 36?

Question

How do you find the greatest common factor of 72, 48, 36?

Answer 1

Factor each number down to primes

36=2*2*3*3

48=2*2*2*2*3

72=2*2*2*3*3

They have 2*2*3 in common, so GCF=12

Answer 2

the easiest way for smaller number like these is to make a list of all their factors.

72- 2, 3, 4, 6, 8, 9, 12, 18, 24, 36

48- 2, 3, 4, 6, 8, 12, 16, 24

36- 2, 3, 4, 6, 9, 12, 18

this makes it easy for you to visualize

and from this data clear 12 is your greatest common factor.

Answer 3

you would guest and test and the answer is 12

Answer 4

you write the numbers next to each other separated by a comma then you try to divide them by the smallest common number (except 1) , then when you reach the simplest form (6,4,3) that they have no common number to be divided by, you multiply the numbers that you divided 72,48,36,by to find the greatest common factor as shown below:

72 , 48 , 36   /2

36 , 28 , 18  /2   } 2 X 2 X 3 = 12  is the greatest common factor

18 , 12 , 9   /3

6  , 4  , 3

And sorry for my bad English

Answer 5

the greatest common factor is the greatest number that all of the list of numbers can muliply. etc: gcf of 6 and 12 is .....6!

so here u go

72: 36,2,24,1,72,6,12

36: 6,12,3,1,36,9,4

48: 4,12,8,6,1,48

so find the greatest number that is in common.

it will be 12.

Answer 6

GCD = 12

Answer 7

72=1,2,3,4,6,8,9,12,18,24,36,72

48=1,2,3,4,6,8,12,16,24,48

36=1,2,3,4,6,9,12,18,36

answer is 12

Answer 8

What is the largest number that divides all of the three numbers?

12.

24 would divide 72 and 48 , but not 36

6 would divide all three, but it is not the largest.

Answer 9

Find the HCF Which will come to 12. Its the highest no. which exactly divides all the 3 nos.