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What is the Greatest Common Factor of 58266 and 58284?

Greatest common factor (GCF) of 58266 and 58284 is 18.

GCF(58266,58284) = 18

We will now calculate the prime factors of 58266 and 58284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58266 and 58284.

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How to find the GCF of 58266 and 58284?

We will first find the prime factorization of 58266 and 58284. After we will calculate the factors of 58266 and 58284 and find the biggest common factor number .

Step-1: Prime Factorization of 58266

Prime factors of 58266 are 2, 3, 13, 83. Prime factorization of 58266 in exponential form is:

58266 = 21 × 33 × 131 × 831

Step-2: Prime Factorization of 58284

Prime factors of 58284 are 2, 3, 1619. Prime factorization of 58284 in exponential form is:

58284 = 22 × 32 × 16191

Step-3: Factors of 58266

List of positive integer factors of 58266 that divides 58266 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 83, 117, 166, 234, 249, 351, 498, 702, 747, 1079, 1494, 2158, 2241, 3237, 4482, 6474, 9711, 19422, 29133

Step-4: Factors of 58284

List of positive integer factors of 58284 that divides 58266 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1619, 3238, 4857, 6476, 9714, 14571, 19428, 29142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58266 and 58284. The biggest common factor number is the GCF number.
So the greatest common factor 58266 and 58284 is 18.

Also check out the Least Common Multiple of 58266 and 58284