What is the Greatest Common Factor of 54038 and 54054?

Greatest common factor (GCF) of 54038 and 54054 is 2.

GCF(54038,54054) = 2

We will now calculate the prime factors of 54038 and 54054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54038 and 54054.

How to find the GCF of 54038 and 54054?

We will first find the prime factorization of 54038 and 54054. After we will calculate the factors of 54038 and 54054 and find the biggest common factor number .

Step-1: Prime Factorization of 54038

Prime factors of 54038 are 2, 41, 659. Prime factorization of 54038 in exponential form is:

54038 = 2¹ × 41¹ × 659¹

Step-2: 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-3: Factors of 54038

List of positive integer factors of 54038 that divides 54038 without a remainder.

1, 2, 41, 82, 659, 1318, 27019

Step-4: Factors of 54054

List of positive integer factors of 54054 that divides 54038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54038 and 54054. The biggest common factor number is the GCF number.
So the greatest common factor 54038 and 54054 is 2.

Also check out the Least Common Multiple of 54038 and 54054