What is the Greatest Common Factor of 27060 and 27071?

Greatest common factor (GCF) of 27060 and 27071 is 11.

GCF(27060,27071) = 11

We will now calculate the prime factors of 27060 and 27071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27060 and 27071.

How to find the GCF of 27060 and 27071?

We will first find the prime factorization of 27060 and 27071. After we will calculate the factors of 27060 and 27071 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 27071

Prime factors of 27071 are 11, 23, 107. Prime factorization of 27071 in exponential form is:

27071 = 11¹ × 23¹ × 107¹

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 27071

List of positive integer factors of 27071 that divides 27060 without a remainder.

1, 11, 23, 107, 253, 1177, 2461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27060 and 27071. The biggest common factor number is the GCF number.
So the greatest common factor 27060 and 27071 is 11.

Also check out the Least Common Multiple of 27060 and 27071