What is the Greatest Common Factor of 54405 and 54421?

Greatest common factor (GCF) of 54405 and 54421 is 1.

GCF(54405,54421) = 1

We will now calculate the prime factors of 54405 and 54421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54405 and 54421.

How to find the GCF of 54405 and 54421?

We will first find the prime factorization of 54405 and 54421. After we will calculate the factors of 54405 and 54421 and find the biggest common factor number .

Step-1: Prime Factorization of 54405

Prime factors of 54405 are 3, 5, 13, 31. Prime factorization of 54405 in exponential form is:

54405 = 3³ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 54421

Prime factors of 54421 are 54421. Prime factorization of 54421 in exponential form is:

54421 = 54421¹

Step-3: Factors of 54405

List of positive integer factors of 54405 that divides 54405 without a remainder.

1, 3, 5, 9, 13, 15, 27, 31, 39, 45, 65, 93, 117, 135, 155, 195, 279, 351, 403, 465, 585, 837, 1209, 1395, 1755, 2015, 3627, 4185, 6045, 10881, 18135

Step-4: Factors of 54421

List of positive integer factors of 54421 that divides 54405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54405 and 54421. The biggest common factor number is the GCF number.
So the greatest common factor 54405 and 54421 is 1.

Also check out the Least Common Multiple of 54405 and 54421