What is the Greatest Common Factor of 55386 and 55404?

Greatest common factor (GCF) of 55386 and 55404 is 18.

GCF(55386,55404) = 18

We will now calculate the prime factors of 55386 and 55404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55386 and 55404.

How to find the GCF of 55386 and 55404?

We will first find the prime factorization of 55386 and 55404. After we will calculate the factors of 55386 and 55404 and find the biggest common factor number .

Step-1: Prime Factorization of 55386

Prime factors of 55386 are 2, 3, 17, 181. Prime factorization of 55386 in exponential form is:

55386 = 2¹ × 3² × 17¹ × 181¹

Step-2: Prime Factorization of 55404

Prime factors of 55404 are 2, 3, 19. Prime factorization of 55404 in exponential form is:

55404 = 2² × 3⁶ × 19¹

Step-3: Factors of 55386

List of positive integer factors of 55386 that divides 55386 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 181, 306, 362, 543, 1086, 1629, 3077, 3258, 6154, 9231, 18462, 27693

Step-4: Factors of 55404

List of positive integer factors of 55404 that divides 55386 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 243, 324, 342, 486, 513, 684, 729, 972, 1026, 1458, 1539, 2052, 2916, 3078, 4617, 6156, 9234, 13851, 18468, 27702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55386 and 55404. The biggest common factor number is the GCF number.
So the greatest common factor 55386 and 55404 is 18.

Also check out the Least Common Multiple of 55386 and 55404