What is the Greatest Common Factor of 27030 and 27041?

Greatest common factor (GCF) of 27030 and 27041 is 1.

GCF(27030,27041) = 1

We will now calculate the prime factors of 27030 and 27041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27030 and 27041.

How to find the GCF of 27030 and 27041?

We will first find the prime factorization of 27030 and 27041. After we will calculate the factors of 27030 and 27041 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27041

Prime factors of 27041 are 7, 3863. Prime factorization of 27041 in exponential form is:

27041 = 7¹ × 3863¹

Step-3: Factors of 27030

List of positive integer factors of 27030 that divides 27030 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

Step-4: Factors of 27041

List of positive integer factors of 27041 that divides 27030 without a remainder.

1, 7, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27030 and 27041. The biggest common factor number is the GCF number.
So the greatest common factor 27030 and 27041 is 1.

Also check out the Least Common Multiple of 27030 and 27041