What is the Greatest Common Factor of 54054 and 54065?

Greatest common factor (GCF) of 54054 and 54065 is 11.

GCF(54054,54065) = 11

We will now calculate the prime factors of 54054 and 54065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54054 and 54065.

How to find the GCF of 54054 and 54065?

We will first find the prime factorization of 54054 and 54065. After we will calculate the factors of 54054 and 54065 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 54065

Prime factors of 54065 are 5, 11, 983. Prime factorization of 54065 in exponential form is:

54065 = 5¹ × 11¹ × 983¹

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 54065

List of positive integer factors of 54065 that divides 54054 without a remainder.

1, 5, 11, 55, 983, 4915, 10813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54054 and 54065. The biggest common factor number is the GCF number.
So the greatest common factor 54054 and 54065 is 11.

Also check out the Least Common Multiple of 54054 and 54065