What is the Greatest Common Factor of 54405 and 54418?

Greatest common factor (GCF) of 54405 and 54418 is 13.

GCF(54405,54418) = 13

We will now calculate the prime factors of 54405 and 54418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54405 and 54418.

How to find the GCF of 54405 and 54418?

We will first find the prime factorization of 54405 and 54418. After we will calculate the factors of 54405 and 54418 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 54418

Prime factors of 54418 are 2, 7, 13, 23. Prime factorization of 54418 in exponential form is:

54418 = 2¹ × 7¹ × 13² × 23¹

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 54418

List of positive integer factors of 54418 that divides 54405 without a remainder.

1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 169, 182, 299, 322, 338, 598, 1183, 2093, 2366, 3887, 4186, 7774, 27209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54405 and 54418. The biggest common factor number is the GCF number.
So the greatest common factor 54405 and 54418 is 13.

Also check out the Least Common Multiple of 54405 and 54418