What is the Greatest Common Factor of 55365 and 55380?

Greatest common factor (GCF) of 55365 and 55380 is 15.

GCF(55365,55380) = 15

We will now calculate the prime factors of 55365 and 55380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55365 and 55380.

How to find the GCF of 55365 and 55380?

We will first find the prime factorization of 55365 and 55380. After we will calculate the factors of 55365 and 55380 and find the biggest common factor number .

Step-1: Prime Factorization of 55365

Prime factors of 55365 are 3, 5, 3691. Prime factorization of 55365 in exponential form is:

55365 = 3¹ × 5¹ × 3691¹

Step-2: 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-3: Factors of 55365

List of positive integer factors of 55365 that divides 55365 without a remainder.

1, 3, 5, 15, 3691, 11073, 18455

Step-4: Factors of 55380

List of positive integer factors of 55380 that divides 55365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55365 and 55380. The biggest common factor number is the GCF number.
So the greatest common factor 55365 and 55380 is 15.

Also check out the Least Common Multiple of 55365 and 55380