What is the Greatest Common Factor of 55380 and 55395?

Greatest common factor (GCF) of 55380 and 55395 is 15.

GCF(55380,55395) = 15

We will now calculate the prime factors of 55380 and 55395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55380 and 55395.

How to find the GCF of 55380 and 55395?

We will first find the prime factorization of 55380 and 55395. After we will calculate the factors of 55380 and 55395 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 55395

Prime factors of 55395 are 3, 5, 1231. Prime factorization of 55395 in exponential form is:

55395 = 3² × 5¹ × 1231¹

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 55395

List of positive integer factors of 55395 that divides 55380 without a remainder.

1, 3, 5, 9, 15, 45, 1231, 3693, 6155, 11079, 18465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55380 and 55395. The biggest common factor number is the GCF number.
So the greatest common factor 55380 and 55395 is 15.

Also check out the Least Common Multiple of 55380 and 55395