What is the Greatest Common Factor of 27336 and 27353?

Greatest common factor (GCF) of 27336 and 27353 is 17.

GCF(27336,27353) = 17

We will now calculate the prime factors of 27336 and 27353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27336 and 27353.

How to find the GCF of 27336 and 27353?

We will first find the prime factorization of 27336 and 27353. After we will calculate the factors of 27336 and 27353 and find the biggest common factor number .

Step-1: Prime Factorization of 27336

Prime factors of 27336 are 2, 3, 17, 67. Prime factorization of 27336 in exponential form is:

27336 = 2³ × 3¹ × 17¹ × 67¹

Step-2: Prime Factorization of 27353

Prime factors of 27353 are 17, 1609. Prime factorization of 27353 in exponential form is:

27353 = 17¹ × 1609¹

Step-3: Factors of 27336

List of positive integer factors of 27336 that divides 27336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 67, 68, 102, 134, 136, 201, 204, 268, 402, 408, 536, 804, 1139, 1608, 2278, 3417, 4556, 6834, 9112, 13668

Step-4: Factors of 27353

List of positive integer factors of 27353 that divides 27336 without a remainder.

1, 17, 1609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27336 and 27353. The biggest common factor number is the GCF number.
So the greatest common factor 27336 and 27353 is 17.

Also check out the Least Common Multiple of 27336 and 27353