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If (A=2^3\times3^5) and (B=2^5\times3^2), how many factors does the HCF of (A) and (B) have?

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Answer and explanation

Correct answer: (12)

Step 1: HCF uses the smaller exponents. Step 2: HCF (=2^3\times3^2). Its number of factors is ((3+1)(2+1)=12). Step 3: First find the HCF, then count its factors.

Related tags

Real NumbersHcf FactorsPrime FactorisationExpert

Frequently asked questions

What is the correct answer to this question?

(12)

Why is this the correct answer?

Step 1: HCF uses the smaller exponents. Step 2: HCF (=2^3\times3^2). Its number of factors is ((3+1)(2+1)=12). Step 3: First find the HCF, then count its factors.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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