What is the Greatest Common Factor of 27060 and 27078?

Greatest common factor (GCF) of 27060 and 27078 is 6.

GCF(27060,27078) = 6

We will now calculate the prime factors of 27060 and 27078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27060 and 27078.

How to find the GCF of 27060 and 27078?

We will first find the prime factorization of 27060 and 27078. After we will calculate the factors of 27060 and 27078 and find the biggest common factor number .

Step-1: Prime Factorization of 27060

Prime factors of 27060 are 2, 3, 5, 11, 41. Prime factorization of 27060 in exponential form is:

27060 = 2² × 3¹ × 5¹ × 11¹ × 41¹

Step-2: Prime Factorization of 27078

Prime factors of 27078 are 2, 3, 4513. Prime factorization of 27078 in exponential form is:

27078 = 2¹ × 3¹ × 4513¹

Step-3: Factors of 27060

List of positive integer factors of 27060 that divides 27060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 41, 44, 55, 60, 66, 82, 110, 123, 132, 164, 165, 205, 220, 246, 330, 410, 451, 492, 615, 660, 820, 902, 1230, 1353, 1804, 2255, 2460, 2706, 4510, 5412, 6765, 9020, 13530

Step-4: Factors of 27078

List of positive integer factors of 27078 that divides 27060 without a remainder.

1, 2, 3, 6, 4513, 9026, 13539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27060 and 27078. The biggest common factor number is the GCF number.
So the greatest common factor 27060 and 27078 is 6.

Also check out the Least Common Multiple of 27060 and 27078