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What is the highest common prime factor of 7140 and 13200 ?
Question

What is the highest common prime factor of 7140 and 13200 ?

A.

5

B.

3

C.

11

D.

2

Correct option is A

Given: 

7140, 13200 

Concept Used: 

The HCF (Highest Common Factor) is the largest number that divides two or more numbers without leaving a remainder 

Solution: 

7140 = 2×\times2×\times3×\times5×\times7×\times17

13200 = 2×\times2×\times2×\times2×\times3×\times5×\times5×\times5×\times11

So, HCF = 2×\times2×\times​3×\times5 = 60 

But in prime factor , 2 , 3 and 5 

5 is the highest prime factor.

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