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Question

Find the highest common factor of 36 and 54.

A
12
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B
14
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C
16
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D
18
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Solution

The correct option is D 18
Factor pairs of 36:

1x36 = 36;
2x18 = 36;
3x12 = 36;
4x9 = 36;
6x6 = 36

Factors of 36 are 1,2,3,4,6,9,12,18,36

Factor pairs of 54:

1x54 = 54;
2x27 = 54;
3x18 = 54;
6x9 = 54

Factors of 54 are 1,2,3,6,9,18,27,54

Common factors are 1,2,3,6,9,18

Highest common factor = 18

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