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)#

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.

sankarankalyanam
Oct 14, 2017

G C F 18It’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

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.