What is the Greatest Common Factor of 54149 and 54163?

Greatest common factor (GCF) of 54149 and 54163 is 1.

GCF(54149,54163) = 1

We will now calculate the prime factors of 54149 and 54163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54149 and 54163.

How to find the GCF of 54149 and 54163?

We will first find the prime factorization of 54149 and 54163. After we will calculate the factors of 54149 and 54163 and find the biggest common factor number .

Step-1: Prime Factorization of 54149

Prime factors of 54149 are 173, 313. Prime factorization of 54149 in exponential form is:

54149 = 173¹ × 313¹

Step-2: Prime Factorization of 54163

Prime factors of 54163 are 54163. Prime factorization of 54163 in exponential form is:

54163 = 54163¹

Step-3: Factors of 54149

List of positive integer factors of 54149 that divides 54149 without a remainder.

1, 173, 313

Step-4: Factors of 54163

List of positive integer factors of 54163 that divides 54149 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54149 and 54163. The biggest common factor number is the GCF number.
So the greatest common factor 54149 and 54163 is 1.

Also check out the Least Common Multiple of 54149 and 54163