What is the Greatest Common Factor of 55320 and 55328?

Greatest common factor (GCF) of 55320 and 55328 is 8.

GCF(55320,55328) = 8

We will now calculate the prime factors of 55320 and 55328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55320 and 55328.

How to find the GCF of 55320 and 55328?

We will first find the prime factorization of 55320 and 55328. After we will calculate the factors of 55320 and 55328 and find the biggest common factor number .

Step-1: Prime Factorization of 55320

Prime factors of 55320 are 2, 3, 5, 461. Prime factorization of 55320 in exponential form is:

55320 = 2³ × 3¹ × 5¹ × 461¹

Step-2: 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-3: Factors of 55320

List of positive integer factors of 55320 that divides 55320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 461, 922, 1383, 1844, 2305, 2766, 3688, 4610, 5532, 6915, 9220, 11064, 13830, 18440, 27660

Step-4: Factors of 55328

List of positive integer factors of 55328 that divides 55320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55320 and 55328. The biggest common factor number is the GCF number.
So the greatest common factor 55320 and 55328 is 8.

Also check out the Least Common Multiple of 55320 and 55328