What is the Greatest Common Factor of 55488 and 55504?

Greatest common factor (GCF) of 55488 and 55504 is 16.

GCF(55488,55504) = 16

We will now calculate the prime factors of 55488 and 55504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55488 and 55504.

How to find the GCF of 55488 and 55504?

We will first find the prime factorization of 55488 and 55504. After we will calculate the factors of 55488 and 55504 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 55504

Prime factors of 55504 are 2, 3469. Prime factorization of 55504 in exponential form is:

55504 = 2⁴ × 3469¹

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 55504

List of positive integer factors of 55504 that divides 55488 without a remainder.

1, 2, 4, 8, 16, 3469, 6938, 13876, 27752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55488 and 55504. The biggest common factor number is the GCF number.
So the greatest common factor 55488 and 55504 is 16.

Also check out the Least Common Multiple of 55488 and 55504