What is the Greatest Common Factor of 55104 and 55120?

Greatest common factor (GCF) of 55104 and 55120 is 16.

GCF(55104,55120) = 16

We will now calculate the prime factors of 55104 and 55120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55104 and 55120.

How to find the GCF of 55104 and 55120?

We will first find the prime factorization of 55104 and 55120. After we will calculate the factors of 55104 and 55120 and find the biggest common factor number .

Step-1: Prime Factorization of 55104

Prime factors of 55104 are 2, 3, 7, 41. Prime factorization of 55104 in exponential form is:

55104 = 2⁶ × 3¹ × 7¹ × 41¹

Step-2: Prime Factorization of 55120

Prime factors of 55120 are 2, 5, 13, 53. Prime factorization of 55120 in exponential form is:

55120 = 2⁴ × 5¹ × 13¹ × 53¹

Step-3: Factors of 55104

List of positive integer factors of 55104 that divides 55104 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42, 48, 56, 64, 82, 84, 96, 112, 123, 164, 168, 192, 224, 246, 287, 328, 336, 448, 492, 574, 656, 672, 861, 984, 1148, 1312, 1344, 1722, 1968, 2296, 2624, 3444, 3936, 4592, 6888, 7872, 9184, 13776, 18368, 27552

Step-4: Factors of 55120

List of positive integer factors of 55120 that divides 55104 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 53, 65, 80, 104, 106, 130, 208, 212, 260, 265, 424, 520, 530, 689, 848, 1040, 1060, 1378, 2120, 2756, 3445, 4240, 5512, 6890, 11024, 13780, 27560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55104 and 55120. The biggest common factor number is the GCF number.
So the greatest common factor 55104 and 55120 is 16.

Also check out the Least Common Multiple of 55104 and 55120