There have the right to be several usual factors, however there is only one Greatest typical factor.

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Write 36 and 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 every the common factors, it is probably easiest to write all the determinants of 36 and also 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 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 common factor of 36 and also 90 i m sorry is 18.

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

Explanation:

What is the greatest typical factor (GCF)?That is the biggest number that will certainly divide into all those given.To uncover it, the smallest prime numbers should be split 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# offer #18# and also #45#.

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

sankarankalyanam
Oct 14, 2017

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

Explanation:

To find G C F of 36, 90:

First compose the determinants of both terms :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 marked redabove.#color(red)(2*3*3)=#18 is the G C F

Ms. Precious
Nov 21, 2017

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

Explanation:

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

To find ALL the determinants of a number:~ begin by factoring by 1 and writing the components down. ~ Then variable by 2, then by 3, then by 4, and also so on. ~ If a number will not walk in evenly, it is no a factor, therefore skip it and also go to the following number.~ as soon as the element pairs begin to repeat, you room done.

The components of 361 #xx# 362 #xx# 183 #xx# 124 #xx# 95 #xx# #larr# no a factor, therefore skip come 66 #xx# 6 #larr# The determinants will now just 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# no a factor, therefore 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 list 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 common 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 miscellaneous applications.For one thing, there"s no possibility you will miss a factor.