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# What are the common factors of 300 and 144?

Updated: 4/28/2022 Wiki User

14y ago

The prime factors of 144 are 2, 2, 2, 2, 3 and 3

The prime factors of 300 are 2, 2, 3, 5 and 5

So the only prime numbers which are common to both numbers are 2, 2 and 3 = 12 Wiki User

14y ago   Earn +20 pts
Q: What are the common factors of 300 and 144?
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In order to find the common factors of 144 and 100, we follow the following steps:Step 1: Find the HCF of 144 and 100.Prime factorization of 144 = 2x2x2x2x3x3Prime factorization of 100 = 2x2x5x5HCF(144,100) = 2x2 = 22 = 4.Step 2: Find the factors of HCF(144,100) i.e. 4. The factors of 4 are the common factors of 144 and 100.Factors of 4 are 1, 2 and 4.So, common factors of 144 and 100 are 1, 2 and 4.

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2 is a factor of 144. For it to be common, it needs to be compared to another set of factors.

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The common factors of 36, 72 and 144 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.

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The common factors are 1, 3 and 9.