What is the Greatest Common Factor of 55328 and 55345?

Greatest common factor (GCF) of 55328 and 55345 is 1.

GCF(55328,55345) = 1

We will now calculate the prime factors of 55328 and 55345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55328 and 55345.

How to find the GCF of 55328 and 55345?

We will first find the prime factorization of 55328 and 55345. After we will calculate the factors of 55328 and 55345 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 55345

Prime factors of 55345 are 5, 11069. Prime factorization of 55345 in exponential form is:

55345 = 5¹ × 11069¹

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 55345

List of positive integer factors of 55345 that divides 55328 without a remainder.

1, 5, 11069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55328 and 55345. The biggest common factor number is the GCF number.
So the greatest common factor 55328 and 55345 is 1.

Also check out the Least Common Multiple of 55328 and 55345