What is the greatest common factor of 75 and 30?

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Answer 1 · 2018-03-14T22:52:17

See a solution process below:

Find the prime factors for each number as:

#75 = 3 xx 5 xx 5#

#30 = 2 xx 3 xx 5#

Now identify the common factors and determine the GCF:

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

#36 = 2 xx color(red)(3) xx color(red)(5)#

Therefore:

#"GCF" = color(red)(3) xx color(red)(5) = 15#