What is the Greatest Common Factor of 54385 and 54397?

Greatest common factor (GCF) of 54385 and 54397 is 1.

GCF(54385,54397) = 1

We will now calculate the prime factors of 54385 and 54397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54385 and 54397.

How to find the GCF of 54385 and 54397?

We will first find the prime factorization of 54385 and 54397. After we will calculate the factors of 54385 and 54397 and find the biggest common factor number .

Step-1: Prime Factorization of 54385

Prime factors of 54385 are 5, 73, 149. Prime factorization of 54385 in exponential form is:

54385 = 5¹ × 73¹ × 149¹

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 54385

List of positive integer factors of 54385 that divides 54385 without a remainder.

1, 5, 73, 149, 365, 745, 10877

Step-4: Factors of 54397

List of positive integer factors of 54397 that divides 54385 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54385 and 54397. The biggest common factor number is the GCF number.
So the greatest common factor 54385 and 54397 is 1.

Also check out the Least Common Multiple of 54385 and 54397