What is the Greatest Common Factor of 55368 and 55380?

Greatest common factor (GCF) of 55368 and 55380 is 12.

GCF(55368,55380) = 12

We will now calculate the prime factors of 55368 and 55380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55368 and 55380.

How to find the GCF of 55368 and 55380?

We will first find the prime factorization of 55368 and 55380. After we will calculate the factors of 55368 and 55380 and find the biggest common factor number .

Step-1: Prime Factorization of 55368

Prime factors of 55368 are 2, 3, 769. Prime factorization of 55368 in exponential form is:

55368 = 2³ × 3² × 769¹

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 55368

List of positive integer factors of 55368 that divides 55368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 769, 1538, 2307, 3076, 4614, 6152, 6921, 9228, 13842, 18456, 27684

Step-4: Factors of 55380

List of positive integer factors of 55380 that divides 55368 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 55368 and 55380. The biggest common factor number is the GCF number.
So the greatest common factor 55368 and 55380 is 12.

Also check out the Least Common Multiple of 55368 and 55380