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 their 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 more than likely easiest to write all the factors of 36 and also then select which are factors of 90 as well.

Factors the 36: #" "color(red)(1, 2, 3), 4, " "color(red)(6, 9)," " 12," " color(red)(18), " "36#Factors of 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)#


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EET-AP
Oct 9, 2017

There is only one greatest typical factor the 36 and 90 i beg your pardon is 18.

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


Explanation:

What is the greatest common factor (GCF)?That is the largest number that will divide into all those given.To discover it, the smallest prime numbers have to be divided into each one. Prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19.

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

#18# will divide right into both #36# and also #90#, however #45# will certainly not, so #18# is the GCF.


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sankarankalyanam
Oct 14, 2017

G C F 18It’s also called Greatest common Divisor G C D


Explanation:

To find G C F that 36, 90:

First create 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 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 find the GCF without making use of prime factors


Explanation:

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

To discover ALL the components of a number:~ start by factoring through 1 and writing the factors down. ~ Then aspect by 2, climate by 3, climate by 4, and so on. ~ If a number will certainly not go in evenly, that is not a factor, therefore skip it and go come the next number.~ once the element pairs begin to repeat, you are done.

The components 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, therefore you room done.The factors of 36 are:1, 2, 3, 4, 6, 9, 12, #color(red)(18)#, 36

Now compare those determinants to the factors of 90The factors of 901 #xx# 902 #xx# 453 #xx# 304 #xx# #larr# not a factor, so skip to 55 #xx# 186 #xx# 157 #xx# #larr# Skip8 #xx# #larr# Skip9 #xx# 1010#xx# 9 #larr# The components are repeating now, for this reason the perform is completeThe factors of 90 are:1, 2, 3, 5, 6, 9, 10, 15, #color(red)(18)#, 30, 45, 90........................................

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

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