What is the Greatest Common Factor of 27030 and 27036?

Greatest common factor (GCF) of 27030 and 27036 is 6.

GCF(27030,27036) = 6

We will now calculate the prime factors of 27030 and 27036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27030 and 27036.

How to find the GCF of 27030 and 27036?

We will first find the prime factorization of 27030 and 27036. After we will calculate the factors of 27030 and 27036 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 27036

Prime factors of 27036 are 2, 3, 751. Prime factorization of 27036 in exponential form is:

27036 = 2² × 3² × 751¹

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 27036

List of positive integer factors of 27036 that divides 27030 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012, 13518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27030 and 27036. The biggest common factor number is the GCF number.
So the greatest common factor 27030 and 27036 is 6.

Also check out the Least Common Multiple of 27030 and 27036