What is the Greatest Common Factor of 54325 and 54338?

Greatest common factor (GCF) of 54325 and 54338 is 1.

GCF(54325,54338) = 1

We will now calculate the prime factors of 54325 and 54338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54325 and 54338.

How to find the GCF of 54325 and 54338?

We will first find the prime factorization of 54325 and 54338. After we will calculate the factors of 54325 and 54338 and find the biggest common factor number .

Step-1: Prime Factorization of 54325

Prime factors of 54325 are 5, 41, 53. Prime factorization of 54325 in exponential form is:

54325 = 5² × 41¹ × 53¹

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 54325

List of positive integer factors of 54325 that divides 54325 without a remainder.

1, 5, 25, 41, 53, 205, 265, 1025, 1325, 2173, 10865

Step-4: Factors of 54338

List of positive integer factors of 54338 that divides 54325 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54325 and 54338. The biggest common factor number is the GCF number.
So the greatest common factor 54325 and 54338 is 1.

Also check out the Least Common Multiple of 54325 and 54338