What is the Greatest Common Factor of 27014 and 27027?

Greatest common factor (GCF) of 27014 and 27027 is 13.

GCF(27014,27027) = 13

We will now calculate the prime factors of 27014 and 27027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27014 and 27027.

How to find the GCF of 27014 and 27027?

We will first find the prime factorization of 27014 and 27027. After we will calculate the factors of 27014 and 27027 and find the biggest common factor number .

Step-1: Prime Factorization of 27014

Prime factors of 27014 are 2, 13, 1039. Prime factorization of 27014 in exponential form is:

27014 = 2¹ × 13¹ × 1039¹

Step-2: Prime Factorization of 27027

Prime factors of 27027 are 3, 7, 11, 13. Prime factorization of 27027 in exponential form is:

27027 = 3³ × 7¹ × 11¹ × 13¹

Step-3: Factors of 27014

List of positive integer factors of 27014 that divides 27014 without a remainder.

1, 2, 13, 26, 1039, 2078, 13507

Step-4: Factors of 27027

List of positive integer factors of 27027 that divides 27014 without a remainder.

1, 3, 7, 9, 11, 13, 21, 27, 33, 39, 63, 77, 91, 99, 117, 143, 189, 231, 273, 297, 351, 429, 693, 819, 1001, 1287, 2079, 2457, 3003, 3861, 9009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27014 and 27027. The biggest common factor number is the GCF number.
So the greatest common factor 27014 and 27027 is 13.

Also check out the Least Common Multiple of 27014 and 27027