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# What is the greatest common factor of 36 and 45?

Updated: 4/28/2022

Wiki User

7y ago

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Marcus Rivera

Lvl 10
3y ago

Wiki User

7y ago

The greatest common factor (GCF) of 36 and 45 is 9.

36=2x2x3x3 45=3x3x5 So the greatest common factor is 3x3=9

Another way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The factors of 45 are 1, 3, 5, 9, 15, and 45.

The common factors are 1, 3, and 9. Therefore, the greatest common factor is 9.

Factor out each term to get:

45 = 5 x 9

= 3² x 5

36 = 6 x 6

= 2 x 3 x 2 x 3

= 2² x 3²

Since 3² is the common factor in both 45 and 36, it's the highest common factor.

Wiki User

7y ago

GCF(36, 45) = 9.

Mason Anderson

Lvl 2
2y ago

9

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