What is the Greatest Common Factor of 27018 and 27037?

Greatest common factor (GCF) of 27018 and 27037 is 19.

GCF(27018,27037) = 19

We will now calculate the prime factors of 27018 and 27037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27018 and 27037.

How to find the GCF of 27018 and 27037?

We will first find the prime factorization of 27018 and 27037. After we will calculate the factors of 27018 and 27037 and find the biggest common factor number .

Step-1: Prime Factorization of 27018

Prime factors of 27018 are 2, 3, 19, 79. Prime factorization of 27018 in exponential form is:

27018 = 2¹ × 3² × 19¹ × 79¹

Step-2: Prime Factorization of 27037

Prime factors of 27037 are 19, 1423. Prime factorization of 27037 in exponential form is:

27037 = 19¹ × 1423¹

Step-3: Factors of 27018

List of positive integer factors of 27018 that divides 27018 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474, 711, 1422, 1501, 3002, 4503, 9006, 13509

Step-4: Factors of 27037

List of positive integer factors of 27037 that divides 27018 without a remainder.

1, 19, 1423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27018 and 27037. The biggest common factor number is the GCF number.
So the greatest common factor 27018 and 27037 is 19.

Also check out the Least Common Multiple of 27018 and 27037