What is the Greatest Common Factor of 55488 and 55503?

Greatest common factor (GCF) of 55488 and 55503 is 3.

GCF(55488,55503) = 3

We will now calculate the prime factors of 55488 and 55503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55488 and 55503.

How to find the GCF of 55488 and 55503?

We will first find the prime factorization of 55488 and 55503. After we will calculate the factors of 55488 and 55503 and find the biggest common factor number .

Step-1: Prime Factorization of 55488

Prime factors of 55488 are 2, 3, 17. Prime factorization of 55488 in exponential form is:

55488 = 2⁶ × 3¹ × 17²

Step-2: Prime Factorization of 55503

Prime factors of 55503 are 3, 7, 881. Prime factorization of 55503 in exponential form is:

55503 = 3² × 7¹ × 881¹

Step-3: Factors of 55488

List of positive integer factors of 55488 that divides 55488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 289, 408, 544, 578, 816, 867, 1088, 1156, 1632, 1734, 2312, 3264, 3468, 4624, 6936, 9248, 13872, 18496, 27744

Step-4: Factors of 55503

List of positive integer factors of 55503 that divides 55488 without a remainder.

1, 3, 7, 9, 21, 63, 881, 2643, 6167, 7929, 18501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55488 and 55503. The biggest common factor number is the GCF number.
So the greatest common factor 55488 and 55503 is 3.

Also check out the Least Common Multiple of 55488 and 55503