What is the Greatest Common Factor of 27045 and 27060?

Greatest common factor (GCF) of 27045 and 27060 is 15.

GCF(27045,27060) = 15

We will now calculate the prime factors of 27045 and 27060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27045 and 27060.

How to find the GCF of 27045 and 27060?

We will first find the prime factorization of 27045 and 27060. After we will calculate the factors of 27045 and 27060 and find the biggest common factor number .

Step-1: Prime Factorization of 27045

Prime factors of 27045 are 3, 5, 601. Prime factorization of 27045 in exponential form is:

27045 = 3² × 5¹ × 601¹

Step-2: Prime Factorization of 27060

Prime factors of 27060 are 2, 3, 5, 11, 41. Prime factorization of 27060 in exponential form is:

27060 = 2² × 3¹ × 5¹ × 11¹ × 41¹

Step-3: Factors of 27045

List of positive integer factors of 27045 that divides 27045 without a remainder.

1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015

Step-4: Factors of 27060

List of positive integer factors of 27060 that divides 27045 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 41, 44, 55, 60, 66, 82, 110, 123, 132, 164, 165, 205, 220, 246, 330, 410, 451, 492, 615, 660, 820, 902, 1230, 1353, 1804, 2255, 2460, 2706, 4510, 5412, 6765, 9020, 13530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27045 and 27060. The biggest common factor number is the GCF number.
So the greatest common factor 27045 and 27060 is 15.

Also check out the Least Common Multiple of 27045 and 27060