Find the HCF of 2^3 × 3^2 and 2^2 × 3^3.

2^2 × 3^2. The HCF takes each common prime with the smaller exponent: 2^2 and 3^2, so HCF = 2^2 × 3^2 = 36. Taking the larger exponents gives the LCM.

Find the HCF of $2^{3} \times 3^{2}$ and $2^{2} \times 3^{3}$ .

Class 7Prime Factors in Exponent FormNumber System

A $2^{2} \times 3^{2}$
B $2^{3} \times 3^{3}$
C $2^{5} \times 3^{5}$
D $2 \times 3$

Step-by-Step Solution

The HCF takes each common prime with the smaller exponent:

2^{2}

and

3^{2}

, so HCF =

2^{2} \times 3^{2} = 36

. Taking the larger exponents gives the LCM.

Answer: A)

2^{2} \times 3^{2}

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Prime Factors in Exponent Form practice questions

More Class 7 Prime Factors in Exponent Form practice

At Lucknow bus stand, one bus leaves every 12 minutes (2^2 × 3) and another every 18…How many zeros are at the end of 2^3 × 5^3?A number is 2^4 × 3 × 5^2. Pairing 2s with 5s, what is the number?In the division ladder for 360, one divisor is hidden. What is 360 as a product of…A school has 2^3 × 3 × 5 students. They form 2 × 3 × 5 equal teams for sports day. How…

Find the HCF of 23×32 and 22×33.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Prime Factors in Exponent Form practice

Find the HCF of $2^{3} \times 3^{2}$ and $2^{2} \times 3^{3}$ .