#### Question:

What is the greatest common factor of 24 and 32

Posted By Admin @ September 03, 2022

What is the greatest common factor of 24 and 32

**Answer:**

**The greatest common factor of 24 and 32 is 8.**

**Step-by-step explanation:**

By prime factorization,

**24 **=** 2 **x** 2 **x** 2** x** **3

So,the prime factors of 24 is and 3

Similarly, **32 **=** 2 **x** 2 **x** 2** x** **2 x 2

So, the only prime factor of 32 is .

⇒ The only common factor to 24 and 32 is .

**Hence, the greatest common factor of 24 and 32 is 8.**

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