What is the Greatest Common Factor of 54227 and 54242?

Greatest common factor (GCF) of 54227 and 54242 is 1.

GCF(54227,54242) = 1

We will now calculate the prime factors of 54227 and 54242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54227 and 54242.

How to find the GCF of 54227 and 54242?

We will first find the prime factorization of 54227 and 54242. After we will calculate the factors of 54227 and 54242 and find the biggest common factor number .

Step-1: Prime Factorization of 54227

Prime factors of 54227 are 211, 257. Prime factorization of 54227 in exponential form is:

54227 = 211¹ × 257¹

Step-2: Prime Factorization of 54242

Prime factors of 54242 are 2, 37, 733. Prime factorization of 54242 in exponential form is:

54242 = 2¹ × 37¹ × 733¹

Step-3: Factors of 54227

List of positive integer factors of 54227 that divides 54227 without a remainder.

1, 211, 257

Step-4: Factors of 54242

List of positive integer factors of 54242 that divides 54227 without a remainder.

1, 2, 37, 74, 733, 1466, 27121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54227 and 54242. The biggest common factor number is the GCF number.
So the greatest common factor 54227 and 54242 is 1.

Also check out the Least Common Multiple of 54227 and 54242