What is the Greatest Common Factor of 55384 and 55391?

Greatest common factor (GCF) of 55384 and 55391 is 7.

GCF(55384,55391) = 7

We will now calculate the prime factors of 55384 and 55391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55384 and 55391.

How to find the GCF of 55384 and 55391?

We will first find the prime factorization of 55384 and 55391. After we will calculate the factors of 55384 and 55391 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 55391

Prime factors of 55391 are 7, 41, 193. Prime factorization of 55391 in exponential form is:

55391 = 7¹ × 41¹ × 193¹

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 55391

List of positive integer factors of 55391 that divides 55384 without a remainder.

1, 7, 41, 193, 287, 1351, 7913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55384 and 55391. The biggest common factor number is the GCF number.
So the greatest common factor 55384 and 55391 is 7.

Also check out the Least Common Multiple of 55384 and 55391