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 [tex]2^{3}[/tex] and 3
Similarly, 32 = 2 x 2 x 2 x 2 x 2
So, the only prime factor of 32 is [tex]2^{5}[/tex] .
⇒ The only common factor to 24 and 32 is [tex]2^{3}[/tex] .
Hence, the greatest common factor of 24 and 32 is 8.
