What is the Greatest Common Factor of 55384 and 55399?

Greatest common factor (GCF) of 55384 and 55399 is 1.

GCF(55384,55399) = 1

We will now calculate the prime factors of 55384 and 55399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55384 and 55399.

How to find the GCF of 55384 and 55399?

We will first find the prime factorization of 55384 and 55399. After we will calculate the factors of 55384 and 55399 and find the biggest common factor number .

Step-1: Prime Factorization of 55384

Prime factors of 55384 are 2, 7, 23, 43. Prime factorization of 55384 in exponential form is:

55384 = 2³ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 55399

Prime factors of 55399 are 55399. Prime factorization of 55399 in exponential form is:

55399 = 55399¹

Step-3: Factors of 55384

List of positive integer factors of 55384 that divides 55384 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 43, 46, 56, 86, 92, 161, 172, 184, 301, 322, 344, 602, 644, 989, 1204, 1288, 1978, 2408, 3956, 6923, 7912, 13846, 27692

Step-4: Factors of 55399

List of positive integer factors of 55399 that divides 55384 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55384 and 55399. The biggest common factor number is the GCF number.
So the greatest common factor 55384 and 55399 is 1.

Also check out the Least Common Multiple of 55384 and 55399