There can be several usual factors, yet there is only one Greatest typical factor.

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Write 36 and also 90 together 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 common factors, the is most likely easiest to compose all the factors of 36 and then select which are components of 90 together well.

Factors of 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 common factor that 36 and 90 i beg your pardon is 18.

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

Explanation:

What is the greatest common factor (GCF)?That is the biggest number that will certainly divide 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 offered numbers #36# and also #90#, both divided by #2# provide #18# and also #45#.

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

sankarankalyanam
Oct 14, 2017

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

Explanation:

To uncover G C F the 36, 90:

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

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

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

Ms. Precious
Nov 21, 2017

Here"s a means to find the GCF without using prime factors

Explanation:

Instead of finding the prime determinants of the two numbers,~ make a perform of every the components of every number~ then pick the largest ("greatest") one they have actually in common.

To discover ALL the determinants of a number:~ begin by factoring by 1 and also writing the factors down. ~ Then variable by 2, climate by 3, climate by 4, and also so on. ~ If a number will certainly not walk in evenly, that is no a factor, so skip it and also go come the following number.~ as soon as the aspect pairs begin to repeat, you space done.

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

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

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

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