What is the Greatest Common Factor of 54378 and 54388?

Greatest common factor (GCF) of 54378 and 54388 is 2.

GCF(54378,54388) = 2

We will now calculate the prime factors of 54378 and 54388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54378 and 54388.

How to find the GCF of 54378 and 54388?

We will first find the prime factorization of 54378 and 54388. After we will calculate the factors of 54378 and 54388 and find the biggest common factor number .

Step-1: Prime Factorization of 54378

Prime factors of 54378 are 2, 3, 19, 53. Prime factorization of 54378 in exponential form is:

54378 = 2¹ × 3³ × 19¹ × 53¹

Step-2: Prime Factorization of 54388

Prime factors of 54388 are 2, 13597. Prime factorization of 54388 in exponential form is:

54388 = 2² × 13597¹

Step-3: Factors of 54378

List of positive integer factors of 54378 that divides 54378 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 53, 54, 57, 106, 114, 159, 171, 318, 342, 477, 513, 954, 1007, 1026, 1431, 2014, 2862, 3021, 6042, 9063, 18126, 27189

Step-4: Factors of 54388

List of positive integer factors of 54388 that divides 54378 without a remainder.

1, 2, 4, 13597, 27194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54378 and 54388. The biggest common factor number is the GCF number.
So the greatest common factor 54378 and 54388 is 2.

Also check out the Least Common Multiple of 54378 and 54388