What is the Greatest Common Factor of 55320 and 55339?

Greatest common factor (GCF) of 55320 and 55339 is 1.

GCF(55320,55339) = 1

We will now calculate the prime factors of 55320 and 55339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55320 and 55339.

How to find the GCF of 55320 and 55339?

We will first find the prime factorization of 55320 and 55339. After we will calculate the factors of 55320 and 55339 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 55339

Prime factors of 55339 are 55339. Prime factorization of 55339 in exponential form is:

55339 = 55339¹

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 55339

List of positive integer factors of 55339 that divides 55320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55320 and 55339. The biggest common factor number is the GCF number.
So the greatest common factor 55320 and 55339 is 1.

Also check out the Least Common Multiple of 55320 and 55339