What is the Greatest Common Factor of 27015 and 27030?

Greatest common factor (GCF) of 27015 and 27030 is 15.

GCF(27015,27030) = 15

We will now calculate the prime factors of 27015 and 27030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27015 and 27030.

How to find the GCF of 27015 and 27030?

We will first find the prime factorization of 27015 and 27030. After we will calculate the factors of 27015 and 27030 and find the biggest common factor number .

Step-1: Prime Factorization of 27015

Prime factors of 27015 are 3, 5, 1801. Prime factorization of 27015 in exponential form is:

27015 = 3¹ × 5¹ × 1801¹

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 27015

List of positive integer factors of 27015 that divides 27015 without a remainder.

1, 3, 5, 15, 1801, 5403, 9005

Step-4: Factors of 27030

List of positive integer factors of 27030 that divides 27015 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 27015 and 27030. The biggest common factor number is the GCF number.
So the greatest common factor 27015 and 27030 is 15.

Also check out the Least Common Multiple of 27015 and 27030