Question

How we can take out H.C.F of 81and 729 by prime factorization method.

Answer 1

Answer :–

• Highest Common Factor of 81 and 729 is 81.

Given :–

• Two numbers, 81 and 729.

To Find :–

• Highest Common Factor (H.C.F.) of the given two numbers.

Solution :–

By prime-factorisation.

★ Prime factorisation is refer to the attachment ★

• Prime factors of 81 = 3⁴

Means,

⟹ 3 × 3 × 3 × 3

• Prime factors of 729 = 3⁶

Means,

⟹ 3 × 3 × 3 × 3 × 3 × 3

Now, multiply all the common factors of 81 and 729,

⟹ 3 × 3 × 3 × 3

After multiply the common factors, we obtain

⟹ 81

Hence,

The Highest Common Factor of 81 and 729 is 81.