What is the GCF of 75 and 225?

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Answer 1 · 2018-03-07T19:53:54

See a solution process below:

Find the prime factors for each number as:

#75 = 3 xx 5 xx 5#

#225 = 3 xx 3 xx 5 xx 5#

Now identify the common factors and determine the GCF:

#75 = color(red)(3) xx color(red)(5) xx color(red)(5)#

#225 = color(red)(3) xx 3 xx color(red)(5) xx color(red)(5)#

Therefore:

#"GCF" = color(red)(3) xx color(red)(5) xx color(red)(5) = 75#