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How do you find the GCF of #18, 45mn#?

Answer 1

Cameron Arnold

9

first, list the contributing factors for every number.

#"factors of 18: "{1,2,3,6,9,18}#

#"factors of 45"mn": {1,3,5,9,15,45,m,n}#

now identify the shared elements

#{1,3,9}#

#:.GCF=9#

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Answer 2

Emery Allen

To find the greatest common factor (GCF) of 18 and 45mn, identify the prime factors of each number and then determine the highest power of common prime factors.

The prime factorization of 18 is (2 \times 3^2).

The prime factorization of 45mn can be determined by factoring out the common factors: (45mn = 9 \times 5 \times m \times n = 3^2 \times 5 \times m \times n).

The common prime factors between 18 and 45mn are (3^2) since both numbers have it.

Therefore, the GCF of 18 and 45mn is (3^2 = 9).

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Answer from HIX Tutor

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