What is the Greatest Common Factor of 55380 and 55388?

Greatest common factor (GCF) of 55380 and 55388 is 4.

GCF(55380,55388) = 4

We will now calculate the prime factors of 55380 and 55388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55380 and 55388.

How to find the GCF of 55380 and 55388?

We will first find the prime factorization of 55380 and 55388. After we will calculate the factors of 55380 and 55388 and find the biggest common factor number .

Step-1: Prime Factorization of 55380

Prime factors of 55380 are 2, 3, 5, 13, 71. Prime factorization of 55380 in exponential form is:

55380 = 2² × 3¹ × 5¹ × 13¹ × 71¹

Step-2: Prime Factorization of 55388

Prime factors of 55388 are 2, 61, 227. Prime factorization of 55388 in exponential form is:

55388 = 2² × 61¹ × 227¹

Step-3: Factors of 55380

List of positive integer factors of 55380 that divides 55380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 71, 78, 130, 142, 156, 195, 213, 260, 284, 355, 390, 426, 710, 780, 852, 923, 1065, 1420, 1846, 2130, 2769, 3692, 4260, 4615, 5538, 9230, 11076, 13845, 18460, 27690

Step-4: Factors of 55388

List of positive integer factors of 55388 that divides 55380 without a remainder.

1, 2, 4, 61, 122, 227, 244, 454, 908, 13847, 27694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55380 and 55388. The biggest common factor number is the GCF number.
So the greatest common factor 55380 and 55388 is 4.

Also check out the Least Common Multiple of 55380 and 55388