The common factor of 36y and 76xy is _____________​

  • matematika

    Subject:

    Math
  • Author:

    eliza
  • Created:

    1 year ago

Answers 2

Greatest common factor of 36y and 76xy  is 4y

Given:

36y  an 76xy

To Find:

The common factor

Solution:

"Prime Factorization is finding prime numbers/factors which when multiplied together results in the original number"

Step 1:

Factorize 36y

36y = 2 × 2 × 3 × 3 × y

Step 2:

Factorize 76xy

76xy = 2 × 2 × 19 × x × y

Step 3:

Identify common factors

2 × 2 × y

= 4y

Hence 4y  is greatest common factor of 36y and 76xy

Answer:

The common factor of 36y and 76xy is 4y

Step-by-step explanation:

Here we have been given to find the value of the common factors between the two given terms which are as follows;

36y and 76xy

Therefore the prime factors of the two terms are:

36y = 2× 2×3×3×y

76xy = 2× 2× 19× x × y

Therefore 36 y = 4y × 9

76xy = 4y × 19x

Hence here we can see that 4y is a common factor of both the terms therefore the answer is 4y.

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