What is the greatest common factor of 54 and 36?
What is the greatest common factor of 54 and 36?
Aniket Singh , 9 Months ago
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7 grade maths> What is the greatest common factor of 54 ...
1 AnswersAskiitians Tutor Team
Last Activity: 9 Months ago
To find the greatest common factor (GCF) of 54 and 36, we can use the prime factorization method.
First, let's find the prime factorization of both numbers:
54 = 2 × 3 × 3 × 3 = 2 × 3^3
36 = 2 × 2 × 3 × 3 = 2^2 × 3^2
Next, we identify the common factors between the two numbers by taking the minimum exponent for each prime factor:
Common factors:
2^1 × 3^2 = 2 × 9 = 18
Therefore, the greatest common factor of 54 and 36 is 18.
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