What is the Greatest Common Factor of 55380 and 55400?

Greatest common factor (GCF) of 55380 and 55400 is 20.

GCF(55380,55400) = 20

We will now calculate the prime factors of 55380 and 55400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55380 and 55400.

How to find the GCF of 55380 and 55400?

We will first find the prime factorization of 55380 and 55400. After we will calculate the factors of 55380 and 55400 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 55400

Prime factors of 55400 are 2, 5, 277. Prime factorization of 55400 in exponential form is:

55400 = 2³ × 5² × 277¹

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 55400

List of positive integer factors of 55400 that divides 55380 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 277, 554, 1108, 1385, 2216, 2770, 5540, 6925, 11080, 13850, 27700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55380 and 55400. The biggest common factor number is the GCF number.
So the greatest common factor 55380 and 55400 is 20.

Also check out the Least Common Multiple of 55380 and 55400