What is the Greatest Common Factor of 27013 and 27030?

Greatest common factor (GCF) of 27013 and 27030 is 17.

GCF(27013,27030) = 17

We will now calculate the prime factors of 27013 and 27030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27013 and 27030.

How to find the GCF of 27013 and 27030?

We will first find the prime factorization of 27013 and 27030. After we will calculate the factors of 27013 and 27030 and find the biggest common factor number .

Step-1: Prime Factorization of 27013

Prime factors of 27013 are 7, 17, 227. Prime factorization of 27013 in exponential form is:

27013 = 7¹ × 17¹ × 227¹

Step-2: Prime Factorization of 27030

Prime factors of 27030 are 2, 3, 5, 17, 53. Prime factorization of 27030 in exponential form is:

27030 = 2¹ × 3¹ × 5¹ × 17¹ × 53¹

Step-3: Factors of 27013

List of positive integer factors of 27013 that divides 27013 without a remainder.

1, 7, 17, 119, 227, 1589, 3859

Step-4: Factors of 27030

List of positive integer factors of 27030 that divides 27013 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 53, 85, 102, 106, 159, 170, 255, 265, 318, 510, 530, 795, 901, 1590, 1802, 2703, 4505, 5406, 9010, 13515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27013 and 27030. The biggest common factor number is the GCF number.
So the greatest common factor 27013 and 27030 is 17.

Also check out the Least Common Multiple of 27013 and 27030