There can be several usual factors, but there is only one Greatest common factor.

You are watching: Common factors of 36 and 90

Write 36 and also 90 as the product of your prime factors.

#36 = 2xx2xx3xx3#

#90= color(white)(xxx)2xx3xx3xx5#

#GCF =color(white)(x)2xx3xx3 color(white)(xxx) =18#

As for all the typical factors, that is probably easiest to write all the determinants of 36 and then select which are determinants of 90 as well.

Factors the 36: #" "color(red)(1, 2, 3), 4, " "color(red)(6, 9)," " 12," " color(red)(18), " "36#Factors the 90#" "color(red)(1,2,3)" ",5,color(red)(6,9),10," "15,color(red)(18),30," "45,90#

Common factors:#" "color(red)(1, 2, 3, 6, 9, 18)#

Answer link

EET-AP

Oct 9, 2017

There is only one *greatest usual factor* the 36 and 90 which is 18.

There are also a variety of common factors including 1, 2, 3, 6, 9, 18.

Explanation:

What is the greatest typical factor (GCF)?That is the biggest number that will divide right into all those given.To find it, the **smallest prime** numbers need to be divided into every one. *Prime* numbers are: **2,** 3, 5, 7, 11, 13, 17, 19.

For the given numbers #36# and also #90#, both split by #2# give #18# and #45#.

#18# will divide right into both #36# and also #90#, however #45# will not, for this reason #18# is the GCF.

Answer connect

sankarankalyanam

Oct 14, 2017

G C F **18**It’s likewise called Greatest typical Divisor **G C D**

Explanation:

To discover G C F the 36, 90:

First write the factors of both state :Factors the #36 = 2*color(red)(2*3*3)#

Factors of #90=color(red)(2*3*3*)5#

Select the common factors in both state as marked redabove.#color(red)(2*3*3)=#**18** is the G C F

Answer attach

Ms. Precious

Nov 21, 2017

Here"s a method to find the GCF without making use of prime factors

Explanation:

Instead of detect the *prime* determinants of the two numbers,~ make a list of every the factors of each number~ then choose the largest ("greatest") one they have in common.

To find ALL the components of a number:~ start by factoring through 1 and also writing the determinants down. ~ Then variable by 2, climate by 3, climate by 4, and so on. ~ If a number will certainly not walk in evenly, it is not a factor, therefore skip it and go to the following number.~ when the variable pairs begin to repeat, you are done.

The determinants of 361 #xx# 362 #xx# 183 #xx# 124 #xx# 95 #xx# #larr# not a factor, so skip to 66 #xx# 6 #larr# The determinants will now just repeat, so you room done.The factors of 36 are:1, 2, 3, 4, 6, 9, 12, #color(red)(18)#, 36

Now to compare those factors to the determinants of 90The factors of 901 #xx# 902 #xx# 453 #xx# 304 #xx# #larr# no a factor, so skip come 55 #xx# 186 #xx# 157 #xx# #larr# Skip8 #xx# #larr# Skip9 #xx# 1010#xx# 9 #larr# The determinants are repeating now, therefore the list is completeThe components of 90 are:1, 2, 3, 5, 6, 9, 10, 15, #color(red)(18)#, 30, 45, 90........................................

The factors that 36 and 90 have actually in common are:1, 2, 3, 6, 9, 18So 18 is the greatest typical factor.........................................

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This method of listing *all possible factors* (instead of prime factors) comes in comfortable for miscellaneous applications.For one thing, there"s no opportunity you will miss out on a factor.