What is the Greatest Common Factor of 54330 and 54338?

Greatest common factor (GCF) of 54330 and 54338 is 2.

GCF(54330,54338) = 2

We will now calculate the prime factors of 54330 and 54338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54330 and 54338.

How to find the GCF of 54330 and 54338?

We will first find the prime factorization of 54330 and 54338. After we will calculate the factors of 54330 and 54338 and find the biggest common factor number .

Step-1: Prime Factorization of 54330

Prime factors of 54330 are 2, 3, 5, 1811. Prime factorization of 54330 in exponential form is:

54330 = 2¹ × 3¹ × 5¹ × 1811¹

Step-2: 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-3: Factors of 54330

List of positive integer factors of 54330 that divides 54330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1811, 3622, 5433, 9055, 10866, 18110, 27165

Step-4: Factors of 54338

List of positive integer factors of 54338 that divides 54330 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54330 and 54338. The biggest common factor number is the GCF number.
So the greatest common factor 54330 and 54338 is 2.

Also check out the Least Common Multiple of 54330 and 54338