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

You are watching: Greatest common factor of 36 and 90

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)#

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.

sankarankalyanam
Oct 14, 2017

G C F 18It’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

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.........................................

See more: Which Statement About A Sovereign State Is True ? Unit 1 History Test Flashcards

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.