There deserve to be several common factors, but there is only one Greatest typical factor.

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Write 36 and also 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, the is most likely easiest to write all the factors of 36 and then pick 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 attach

EET-AP

Oct 9, 2017

There is just one *greatest typical factor* that 36 and also 90 which is 18.

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

Explanation:

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

For the offered numbers #36# and #90#, both divided by #2# give #18# and #45#.

#18# will certainly divide right into both #36# and #90#, however #45# will certainly not, so #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 of 36, 90:

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

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

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

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Ms. Worth

Nov 21, 2017

Here"s a method to uncover the GCF without using prime factors

Explanation:

Instead of recognize the *prime* determinants of the two numbers,~ do a perform of every the factors of each number~ then pick the largest ("greatest") one they have in common.

To find ALL the determinants of a number:~ start by factoring through 1 and writing the factors down. ~ Then element by 2, then by 3, then by 4, and also so on. ~ If a number will certainly not go in evenly, it is no a factor, so skip it and also go come the following number.~ once the factor pairs begin to repeat, you are done.

The determinants of 361 #xx# 362 #xx# 183 #xx# 124 #xx# 95 #xx# #larr# no a factor, for this reason skip to 66 #xx# 6 #larr# The components will now simply repeat, for this reason you space done.The components of 36 are:1, 2, 3, 4, 6, 9, 12, #color(red)(18)#, 36

Now compare those components to the determinants of 90The determinants of 901 #xx# 902 #xx# 453 #xx# 304 #xx# #larr# no a factor, for this reason skip come 55 #xx# 186 #xx# 157 #xx# #larr# Skip8 #xx# #larr# Skip9 #xx# 1010#xx# 9 #larr# The components are repeating now, so the list is completeThe factors 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 common are:1, 2, 3, 6, 9, 18So 18 is the greatest usual factor.........................................

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This technique of listing *all feasible factors* (instead of element factors) come in comfortable for various applications.For one thing, there"s no possibility you will miss out on a factor.