What is the Greatest Common Factor of 55328 and 55334?

Greatest common factor (GCF) of 55328 and 55334 is 2.

GCF(55328,55334) = 2

We will now calculate the prime factors of 55328 and 55334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55328 and 55334.

How to find the GCF of 55328 and 55334?

We will first find the prime factorization of 55328 and 55334. After we will calculate the factors of 55328 and 55334 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 55334

Prime factors of 55334 are 2, 73, 379. Prime factorization of 55334 in exponential form is:

55334 = 2¹ × 73¹ × 379¹

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 55334

List of positive integer factors of 55334 that divides 55328 without a remainder.

1, 2, 73, 146, 379, 758, 27667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55328 and 55334. The biggest common factor number is the GCF number.
So the greatest common factor 55328 and 55334 is 2.

Also check out the Least Common Multiple of 55328 and 55334