What is the greatest common factor of 54 and 36?

Question

Julian Avila · Accepted Answer

It is #18#

Because

#3*18 = 54# #2*18 = 36#

Also

The factors of 54: #1, 2, 3, 6, 9, 18, 27, 54 -1, -2, -3, -6, -9, -18, -27, -54 #

The factors of 36: #1, 2, 3, 4, 6, 9, 12, 18, 36 -1, -2, -3, -4, -6, -9, -12, -18, -36 #

The greatest common factor of 54 and 36 = 18

Gabriel Agustin · Answer

#HCF = 18#

Write each number as the product of its prime factors when using HCF and/or LCM. This will provide you with all the information you require about a given number.

Search for every common element:

#" "36 = 2xx2xx3xx3# #" "ul(54 = 2" "xx3xx3xx3)# #HCF = 2" "xx3xx3" "= 18#

The sum of all the common factors is the highest common factor.

This is a very efficient and fast way, particularly when dealing with large numbers where you may not be aware of every contributing factor.

The prime factors can be used to find all the other factors as well as to determine whether a given number is a power, such as a square or a cube, by multiplying it by their product.

Gabriel Agustin · Answer

The greatest common factor of #54 and 36# is #18#.

What is the greatest common factor (GCF)? That is the largest number that will divide into all those given. To find it, the smallest prime numbers should be divided into each one. Prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19. For the given numbers #54# and #36#, both can be divided by #2# to get #27# and #18#. #27# will not divide into both, but #18# will, so it is the GCF.

Autumn Arnold · Answer

undefined The greatest common factor (GCF) of 54 and 36 is 18.