What is the Greatest Common Factor of 27060 and 27070?

Greatest common factor (GCF) of 27060 and 27070 is 10.

GCF(27060,27070) = 10

We will now calculate the prime factors of 27060 and 27070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27060 and 27070.

How to find the GCF of 27060 and 27070?

We will first find the prime factorization of 27060 and 27070. After we will calculate the factors of 27060 and 27070 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 27070

Prime factors of 27070 are 2, 5, 2707. Prime factorization of 27070 in exponential form is:

27070 = 2¹ × 5¹ × 2707¹

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 27070

List of positive integer factors of 27070 that divides 27060 without a remainder.

1, 2, 5, 10, 2707, 5414, 13535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27060 and 27070. The biggest common factor number is the GCF number.
So the greatest common factor 27060 and 27070 is 10.

Also check out the Least Common Multiple of 27060 and 27070