What is the Greatest Common Factor of 54338 and 54342?

Greatest common factor (GCF) of 54338 and 54342 is 2.

GCF(54338,54342) = 2

We will now calculate the prime factors of 54338 and 54342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54338 and 54342.

How to find the GCF of 54338 and 54342?

We will first find the prime factorization of 54338 and 54342. After we will calculate the factors of 54338 and 54342 and find the biggest common factor number .

Step-1: Prime Factorization of 54338

Prime factors of 54338 are 2, 101, 269. Prime factorization of 54338 in exponential form is:

54338 = 2¹ × 101¹ × 269¹

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 54338

List of positive integer factors of 54338 that divides 54338 without a remainder.

1, 2, 101, 202, 269, 538, 27169

Step-4: Factors of 54342

List of positive integer factors of 54342 that divides 54338 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 54338 and 54342. The biggest common factor number is the GCF number.
So the greatest common factor 54338 and 54342 is 2.

Also check out the Least Common Multiple of 54338 and 54342