Question

find HCF of 36 and 54 by listing method ​

Answer 1

Answer:

1. The factors of 36 are 36, 18, 12, 9, 6, 4, 3, 2, 1.
2. The factors of 54 are 54, 27, 18, 9, 6, 3, 2, 1.
3. The common factors of 36 and 54 are 18, 9, 6, 3, 2, 1, intersecting the two sets above.
4. In the intersection factors of 36 ∩ factors of 54 the greatest element is 18.
5. Therefore, the greatest common factor of 36 and 54 is 18.

Step-by-step explanation:

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Answer 2

Answer:

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

The factors of 54 are 54, 27, 18, 9, 6, 3, 2, 1.

The common factors of 36 and 54 are 18, 9, 6, 3, 2, 1, intersecting the two sets above.

In the intersection factors of 36 ∩ factors of 54 the greatest element is 18.

Therefore, the greatest common factor of 36 and 54 is 18.