What is the Greatest Common Factor of 55404 and 55416?

Greatest common factor (GCF) of 55404 and 55416 is 12.

GCF(55404,55416) = 12

We will now calculate the prime factors of 55404 and 55416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55404 and 55416.

How to find the GCF of 55404 and 55416?

We will first find the prime factorization of 55404 and 55416. After we will calculate the factors of 55404 and 55416 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55416

Prime factors of 55416 are 2, 3, 2309. Prime factorization of 55416 in exponential form is:

55416 = 2³ × 3¹ × 2309¹

Step-3: Factors of 55404

List of positive integer factors of 55404 that divides 55404 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

Step-4: Factors of 55416

List of positive integer factors of 55416 that divides 55404 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2309, 4618, 6927, 9236, 13854, 18472, 27708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55404 and 55416. The biggest common factor number is the GCF number.
So the greatest common factor 55404 and 55416 is 12.

Also check out the Least Common Multiple of 55404 and 55416