Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:
[tex]108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})[/tex]
3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:
[tex](2^{2})(3^{2})=(4)(9)=36[/tex]
Answer: He needs 36 cm to make the shelves.
Step-by-step explanation:
Since we have given that
Length of first wood = 108 cm
Length of second wood = 72 cm
We need to find the greatest length so that he can make the shelves.
Greatest length = h.c.f. of 108 and 72 { 36 cm.
Hence, he needs 36 cm to make the shelves.
