What is the Greatest Common Factor of 55320 and 55330?

Greatest common factor (GCF) of 55320 and 55330 is 10.

GCF(55320,55330) = 10

We will now calculate the prime factors of 55320 and 55330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55320 and 55330.

How to find the GCF of 55320 and 55330?

We will first find the prime factorization of 55320 and 55330. After we will calculate the factors of 55320 and 55330 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 55330

Prime factors of 55330 are 2, 5, 11, 503. Prime factorization of 55330 in exponential form is:

55330 = 2¹ × 5¹ × 11¹ × 503¹

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 55330

List of positive integer factors of 55330 that divides 55320 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 503, 1006, 2515, 5030, 5533, 11066, 27665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55320 and 55330. The biggest common factor number is the GCF number.
So the greatest common factor 55320 and 55330 is 10.

Also check out the Least Common Multiple of 55320 and 55330