GCF and LCM Calculator Logo

What is the Greatest Common Factor of 54378 and 54397?

Greatest common factor (GCF) of 54378 and 54397 is 19.

GCF(54378,54397) = 19

We will now calculate the prime factors of 54378 and 54397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54378 and 54397.

GCF Calculator and
and

How to find the GCF of 54378 and 54397?

We will first find the prime factorization of 54378 and 54397. After we will calculate the factors of 54378 and 54397 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 54397

Prime factors of 54397 are 7, 19, 409. Prime factorization of 54397 in exponential form is:

54397 = 71 × 191 × 4091

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 54397

List of positive integer factors of 54397 that divides 54378 without a remainder.

1, 7, 19, 133, 409, 2863, 7771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54378 and 54397. The biggest common factor number is the GCF number.
So the greatest common factor 54378 and 54397 is 19.

Also check out the Least Common Multiple of 54378 and 54397