What is the Greatest Common Factor of 27117 and 27135?

Greatest common factor (GCF) of 27117 and 27135 is 9.

GCF(27117,27135) = 9

We will now calculate the prime factors of 27117 and 27135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27117 and 27135.

How to find the GCF of 27117 and 27135?

We will first find the prime factorization of 27117 and 27135. After we will calculate the factors of 27117 and 27135 and find the biggest common factor number .

Step-1: Prime Factorization of 27117

Prime factors of 27117 are 3, 23, 131. Prime factorization of 27117 in exponential form is:

27117 = 3² × 23¹ × 131¹

Step-2: Prime Factorization of 27135

Prime factors of 27135 are 3, 5, 67. Prime factorization of 27135 in exponential form is:

27135 = 3⁴ × 5¹ × 67¹

Step-3: Factors of 27117

List of positive integer factors of 27117 that divides 27117 without a remainder.

1, 3, 9, 23, 69, 131, 207, 393, 1179, 3013, 9039

Step-4: Factors of 27135

List of positive integer factors of 27135 that divides 27117 without a remainder.

1, 3, 5, 9, 15, 27, 45, 67, 81, 135, 201, 335, 405, 603, 1005, 1809, 3015, 5427, 9045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27117 and 27135. The biggest common factor number is the GCF number.
So the greatest common factor 27117 and 27135 is 9.

Also check out the Least Common Multiple of 27117 and 27135