What is the Greatest Common Factor of 54054 and 54066?

Greatest common factor (GCF) of 54054 and 54066 is 6.

GCF(54054,54066) = 6

We will now calculate the prime factors of 54054 and 54066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54054 and 54066.

How to find the GCF of 54054 and 54066?

We will first find the prime factorization of 54054 and 54066. After we will calculate the factors of 54054 and 54066 and find the biggest common factor number .

Step-1: Prime Factorization of 54054

Prime factors of 54054 are 2, 3, 7, 11, 13. Prime factorization of 54054 in exponential form is:

54054 = 2¹ × 3³ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 54066

Prime factors of 54066 are 2, 3, 9011. Prime factorization of 54066 in exponential form is:

54066 = 2¹ × 3¹ × 9011¹

Step-3: Factors of 54054

List of positive integer factors of 54054 that divides 54054 without a remainder.

1, 2, 3, 6, 7, 9, 11, 13, 14, 18, 21, 22, 26, 27, 33, 39, 42, 54, 63, 66, 77, 78, 91, 99, 117, 126, 143, 154, 182, 189, 198, 231, 234, 273, 286, 297, 351, 378, 429, 462, 546, 594, 693, 702, 819, 858, 1001, 1287, 1386, 1638, 2002, 2079, 2457, 2574, 3003, 3861, 4158, 4914, 6006, 7722, 9009, 18018, 27027

Step-4: Factors of 54066

List of positive integer factors of 54066 that divides 54054 without a remainder.

1, 2, 3, 6, 9011, 18022, 27033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54054 and 54066. The biggest common factor number is the GCF number.
So the greatest common factor 54054 and 54066 is 6.

Also check out the Least Common Multiple of 54054 and 54066