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)#

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.

sankarankalyanam
Oct 14, 2017

G C F 18It’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

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.