What is the Greatest Common Factor of 27060 and 27067?

Greatest common factor (GCF) of 27060 and 27067 is 1.

GCF(27060,27067) = 1

We will now calculate the prime factors of 27060 and 27067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27060 and 27067.

How to find the GCF of 27060 and 27067?

We will first find the prime factorization of 27060 and 27067. After we will calculate the factors of 27060 and 27067 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 27067

Prime factors of 27067 are 27067. Prime factorization of 27067 in exponential form is:

27067 = 27067¹

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 27067

List of positive integer factors of 27067 that divides 27060 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27060 and 27067. The biggest common factor number is the GCF number.
So the greatest common factor 27060 and 27067 is 1.

Also check out the Least Common Multiple of 27060 and 27067