What is the Greatest Common Factor of 54342 and 54360?

Greatest common factor (GCF) of 54342 and 54360 is 18.

GCF(54342,54360) = 18

We will now calculate the prime factors of 54342 and 54360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54342 and 54360.

How to find the GCF of 54342 and 54360?

We will first find the prime factorization of 54342 and 54360. After we will calculate the factors of 54342 and 54360 and find the biggest common factor number .

Step-1: Prime Factorization of 54342

Prime factors of 54342 are 2, 3, 3019. Prime factorization of 54342 in exponential form is:

54342 = 2¹ × 3² × 3019¹

Step-2: Prime Factorization of 54360

Prime factors of 54360 are 2, 3, 5, 151. Prime factorization of 54360 in exponential form is:

54360 = 2³ × 3² × 5¹ × 151¹

Step-3: Factors of 54342

List of positive integer factors of 54342 that divides 54342 without a remainder.

1, 2, 3, 6, 9, 18, 3019, 6038, 9057, 18114, 27171

Step-4: Factors of 54360

List of positive integer factors of 54360 that divides 54342 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 151, 180, 302, 360, 453, 604, 755, 906, 1208, 1359, 1510, 1812, 2265, 2718, 3020, 3624, 4530, 5436, 6040, 6795, 9060, 10872, 13590, 18120, 27180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54342 and 54360. The biggest common factor number is the GCF number.
So the greatest common factor 54342 and 54360 is 18.

Also check out the Least Common Multiple of 54342 and 54360