What is the Greatest Common Factor of 54325 and 54337?

Greatest common factor (GCF) of 54325 and 54337 is 1.

GCF(54325,54337) = 1

We will now calculate the prime factors of 54325 and 54337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54325 and 54337.

How to find the GCF of 54325 and 54337?

We will first find the prime factorization of 54325 and 54337. After we will calculate the factors of 54325 and 54337 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 54337

Prime factors of 54337 are 67, 811. Prime factorization of 54337 in exponential form is:

54337 = 67¹ × 811¹

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 54337

List of positive integer factors of 54337 that divides 54325 without a remainder.

1, 67, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54325 and 54337. The biggest common factor number is the GCF number.
So the greatest common factor 54325 and 54337 is 1.

Also check out the Least Common Multiple of 54325 and 54337