What is the greatest common factor of 24 and 32

Posted By Admin @ September 03, 2022

Question:

What is the greatest common factor of 24 and 32

Answer:

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 2^{3}  and 3

Similarly, 32 = 2 x 2  x 2 x 2 x 2

So, the only prime factor of 32  is 2^{5} .

⇒  The only common factor to 24 and 32 is 2^{3} .

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

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