What is the Greatest Common Factor of 54324 and 54342?

Greatest common factor (GCF) of 54324 and 54342 is 18.

GCF(54324,54342) = 18

We will now calculate the prime factors of 54324 and 54342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54324 and 54342.

How to find the GCF of 54324 and 54342?

We will first find the prime factorization of 54324 and 54342. After we will calculate the factors of 54324 and 54342 and find the biggest common factor number .

Step-1: Prime Factorization of 54324

Prime factors of 54324 are 2, 3, 503. Prime factorization of 54324 in exponential form is:

54324 = 2² × 3³ × 503¹

Step-2: 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-3: Factors of 54324

List of positive integer factors of 54324 that divides 54324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 503, 1006, 1509, 2012, 3018, 4527, 6036, 9054, 13581, 18108, 27162

Step-4: Factors of 54342

List of positive integer factors of 54342 that divides 54324 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54324 and 54342. The biggest common factor number is the GCF number.
So the greatest common factor 54324 and 54342 is 18.

Also check out the Least Common Multiple of 54324 and 54342