What is the Greatest Common Factor of 55328 and 55341?

Greatest common factor (GCF) of 55328 and 55341 is 13.

GCF(55328,55341) = 13

We will now calculate the prime factors of 55328 and 55341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55328 and 55341.

How to find the GCF of 55328 and 55341?

We will first find the prime factorization of 55328 and 55341. After we will calculate the factors of 55328 and 55341 and find the biggest common factor number .

Step-1: Prime Factorization of 55328

Prime factors of 55328 are 2, 7, 13, 19. Prime factorization of 55328 in exponential form is:

55328 = 2⁵ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 55341

Prime factors of 55341 are 3, 11, 13, 43. Prime factorization of 55341 in exponential form is:

55341 = 3² × 11¹ × 13¹ × 43¹

Step-3: Factors of 55328

List of positive integer factors of 55328 that divides 55328 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 19, 26, 28, 32, 38, 52, 56, 76, 91, 104, 112, 133, 152, 182, 208, 224, 247, 266, 304, 364, 416, 494, 532, 608, 728, 988, 1064, 1456, 1729, 1976, 2128, 2912, 3458, 3952, 4256, 6916, 7904, 13832, 27664

Step-4: Factors of 55341

List of positive integer factors of 55341 that divides 55328 without a remainder.

1, 3, 9, 11, 13, 33, 39, 43, 99, 117, 129, 143, 387, 429, 473, 559, 1287, 1419, 1677, 4257, 5031, 6149, 18447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55328 and 55341. The biggest common factor number is the GCF number.
So the greatest common factor 55328 and 55341 is 13.

Also check out the Least Common Multiple of 55328 and 55341