Question

The highest common factor of 6p and 12p is ________ .​

Answer 1

Answer:

We found the factors and prime factorization of 6 and 12. The biggest common factor number is the GCF number. So the greatest common factor 6 and 12 is 6

Step-by-step explanation:

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Answer 2

The HCF i.e. Highest Common Factor of the given two numbers "6p" and "12p" is "6p".

HCF :

• It stands for "Highest Common Factor"
• Thus, as the full form suggests, it is the maximum of all the common factors between the given 2 or more numbers

We first find the factors ( prime factorization ) of both numbers.

Factors of Number1 i.e. 6p  $= 6 * p$

                                             $= 2 * 3 * p$

Factors of Number2 i.e. 12p  $= 12 * p$

                                               $= 2 * 2 * 3 * p$

The factors of the first number i.e. 6p are : 2, 3, p

The factors of the second number i.e. 12p are : 2, 2, 3, p

Thus, The common factors of the two numbers are : 2, 3, p

The maximum possible common factor between the two numbers will be the product of all the common factors in the prime factorization of the two numbers i.e.

         $HCF ( 6p, 12p). = Product(2,3,p)$

                                 $= 2 * 3 * p$

                                  $= 6p$

Hence, the highest common factor of the given two numbers is 6p.

To learn more about HCF, visit

https://brainly.in/question/639608

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