What is the Greatest Common Factor of 27060 and 27069?

Greatest common factor (GCF) of 27060 and 27069 is 3.

GCF(27060,27069) = 3

We will now calculate the prime factors of 27060 and 27069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27060 and 27069.

How to find the GCF of 27060 and 27069?

We will first find the prime factorization of 27060 and 27069. After we will calculate the factors of 27060 and 27069 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 27069

Prime factors of 27069 are 3, 7, 1289. Prime factorization of 27069 in exponential form is:

27069 = 3¹ × 7¹ × 1289¹

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 27069

List of positive integer factors of 27069 that divides 27060 without a remainder.

1, 3, 7, 21, 1289, 3867, 9023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27060 and 27069. The biggest common factor number is the GCF number.
So the greatest common factor 27060 and 27069 is 3.

Also check out the Least Common Multiple of 27060 and 27069