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How do you find the GCF of 66, 90, and 150?

Answer 1

Autumn Arnold

#6#

Note that the prime factorisation of #66# is:

#66 = 2*3*11#

Both #90# and #150# are divisible by #2# and by #3#, but not by #11#.

Hence all three numbers are divisible by #2*3 = 6# and nothing larger.

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Answer 2

Gabriel Agustin

To find the greatest common factor (GCF) of 66, 90, and 150:

List the prime factors of each number:
- 66: ( 2 \times 3 \times 11 )
- 90: ( 2 \times 3^2 \times 5 )
- 150: ( 2 \times 3 \times 5^2 )
Identify the common prime factors: ( 2 ), ( 3 ), and ( 5 ).
Multiply the common prime factors together: ( 2 \times 3 \times 5 = 30 ).

Therefore, the greatest common factor of 66, 90, and 150 is 30.

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Answer from HIX Tutor

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