What is the Greatest Common Factor of 55488 and 55505?

Greatest common factor (GCF) of 55488 and 55505 is 17.

GCF(55488,55505) = 17

We will now calculate the prime factors of 55488 and 55505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55488 and 55505.

How to find the GCF of 55488 and 55505?

We will first find the prime factorization of 55488 and 55505. After we will calculate the factors of 55488 and 55505 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 55505

Prime factors of 55505 are 5, 17, 653. Prime factorization of 55505 in exponential form is:

55505 = 5¹ × 17¹ × 653¹

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 55505

List of positive integer factors of 55505 that divides 55488 without a remainder.

1, 5, 17, 85, 653, 3265, 11101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55488 and 55505. The biggest common factor number is the GCF number.
So the greatest common factor 55488 and 55505 is 17.

Also check out the Least Common Multiple of 55488 and 55505