What is the Greatest Common Factor of 55320 and 55336?

Greatest common factor (GCF) of 55320 and 55336 is 8.

GCF(55320,55336) = 8

We will now calculate the prime factors of 55320 and 55336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55320 and 55336.

How to find the GCF of 55320 and 55336?

We will first find the prime factorization of 55320 and 55336. After we will calculate the factors of 55320 and 55336 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 55336

Prime factors of 55336 are 2, 6917. Prime factorization of 55336 in exponential form is:

55336 = 2³ × 6917¹

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 55336

List of positive integer factors of 55336 that divides 55320 without a remainder.

1, 2, 4, 8, 6917, 13834, 27668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55320 and 55336. The biggest common factor number is the GCF number.
So the greatest common factor 55320 and 55336 is 8.

Also check out the Least Common Multiple of 55320 and 55336