What is the Greatest Common Factor of 27096 and 27105?

Greatest common factor (GCF) of 27096 and 27105 is 3.

GCF(27096,27105) = 3

We will now calculate the prime factors of 27096 and 27105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27096 and 27105.

How to find the GCF of 27096 and 27105?

We will first find the prime factorization of 27096 and 27105. After we will calculate the factors of 27096 and 27105 and find the biggest common factor number .

Step-1: Prime Factorization of 27096

Prime factors of 27096 are 2, 3, 1129. Prime factorization of 27096 in exponential form is:

27096 = 2³ × 3¹ × 1129¹

Step-2: Prime Factorization of 27105

Prime factors of 27105 are 3, 5, 13, 139. Prime factorization of 27105 in exponential form is:

27105 = 3¹ × 5¹ × 13¹ × 139¹

Step-3: Factors of 27096

List of positive integer factors of 27096 that divides 27096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1129, 2258, 3387, 4516, 6774, 9032, 13548

Step-4: Factors of 27105

List of positive integer factors of 27105 that divides 27096 without a remainder.

1, 3, 5, 13, 15, 39, 65, 139, 195, 417, 695, 1807, 2085, 5421, 9035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27096 and 27105. The biggest common factor number is the GCF number.
So the greatest common factor 27096 and 27105 is 3.

Also check out the Least Common Multiple of 27096 and 27105