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

You are watching: Greatest common factor of 36 and 90

Write 36 and 90 together 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 usual factors, it is probably easiest to write all the factors of 36 and also 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 that 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 connect

EET-AP

Oct 9, 2017

There is only one *greatest usual factor* that 36 and 90 i m sorry is 18.

There are likewise a number of common factors including 1, 2, 3, 6, 9, 18.

Explanation:

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

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

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

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sankarankalyanam

Oct 14, 2017

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

Explanation:

To find G C F that 36, 90:

First create the components of both terms :Factors that #36 = 2*color(red)(2*3*3)#

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

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

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Ms. Precious

Nov 21, 2017

Here"s a way to discover the GCF without making use of prime factors

Explanation:

Instead of finding the *prime* factors of the two numbers,~ make a list of all the determinants of each number~ then pick the biggest ("greatest") one they have in common.

To uncover ALL the factors of a number:~ start by factoring by 1 and writing the factors down. ~ Then element by 2, climate by 3, then by 4, and so on. ~ If a number will certainly not walk in evenly, that is no a factor, for this reason skip it and also go to the next number.~ as soon as the element pairs begin to repeat, you room done.

The factors of 361 #xx# 362 #xx# 183 #xx# 124 #xx# 95 #xx# #larr# no a factor, therefore skip to 66 #xx# 6 #larr# The factors will now just repeat, so you room done.The components of 36 are:1, 2, 3, 4, 6, 9, 12, #color(red)(18)#, 36

Now compare those factors to the components of 90The factors of 901 #xx# 902 #xx# 453 #xx# 304 #xx# #larr# not a factor, for this reason skip to 55 #xx# 186 #xx# 157 #xx# #larr# Skip8 #xx# #larr# Skip9 #xx# 1010#xx# 9 #larr# The determinants are repeating now, therefore the perform 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 also 90 have actually in usual are:1, 2, 3, 6, 9, 18So 18 is the greatest common factor.........................................

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This an approach of listing *all feasible factors* (instead of element factors) comes in comfortable for miscellaneous applications.For one thing, there"s no possibility you will miss a factor.