What is the Greatest Common Factor of 55168 and 55187?

Greatest common factor (GCF) of 55168 and 55187 is 1.

GCF(55168,55187) = 1

We will now calculate the prime factors of 55168 and 55187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55168 and 55187.

How to find the GCF of 55168 and 55187?

We will first find the prime factorization of 55168 and 55187. After we will calculate the factors of 55168 and 55187 and find the biggest common factor number .

Step-1: Prime Factorization of 55168

Prime factors of 55168 are 2, 431. Prime factorization of 55168 in exponential form is:

55168 = 2⁷ × 431¹

Step-2: Prime Factorization of 55187

Prime factors of 55187 are 11, 29, 173. Prime factorization of 55187 in exponential form is:

55187 = 11¹ × 29¹ × 173¹

Step-3: Factors of 55168

List of positive integer factors of 55168 that divides 55168 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 431, 862, 1724, 3448, 6896, 13792, 27584

Step-4: Factors of 55187

List of positive integer factors of 55187 that divides 55168 without a remainder.

1, 11, 29, 173, 319, 1903, 5017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55168 and 55187. The biggest common factor number is the GCF number.
So the greatest common factor 55168 and 55187 is 1.

Also check out the Least Common Multiple of 55168 and 55187