Answer :
Final answer:
To find the G.C.F using prime factorization method, find the prime factors of each number and identify the common prime factors.
Explanation:
To find the G.C.F (Greatest Common Factor) of the given numbers using prime factorization method, we need to find the prime factors of each number and identify the common prime factors.
a. For 324, the prime factors are 2 x 2 x 3 x 3 x 3. For 648, the prime factors are 2 x 2 x 2 x 3 x 3 x 3. The common prime factors are 2 x 3 x 3 x 3, which gives us the G.C.F of 324 and 648 as 324.
b. For 200, the prime factors are 2 x 2 x 2 x 5 x 5. For 175, the prime factors are 5 x 5 x 7. For 225, the prime factors are 3 x 3 x 5 x 5. The common prime factor is 5 x 5, which gives us the G.C.F of 200, 175, and 225 as 25.
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