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What is greatest common factor of 405 and 486?

Anonymous

∙ 13y ago

Updated: 10/17/2024

405 = (3)(3)(3)(3)(5)

486 = (3)(3)(3)(3)(3)(2)

(3)(3)(3)(3) = 81

Wiki User

∙ 13y ago

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The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 405 and 486, we can use the prime factorization method. First, we find the prime factors of both numbers: 405 = 3 x 3 x 3 x 3 x 5 and 486 = 2 x 3 x 3 x 3 x 3 x 3. Then, we identify the common prime factors, which are 3 x 3 x 3 = 27. Therefore, the GCF of 405 and 486 is 27.

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