What is the Greatest Common Factor of 54275 and 54281?

Greatest common factor (GCF) of 54275 and 54281 is 1.

GCF(54275,54281) = 1

We will now calculate the prime factors of 54275 and 54281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54275 and 54281.

How to find the GCF of 54275 and 54281?

We will first find the prime factorization of 54275 and 54281. After we will calculate the factors of 54275 and 54281 and find the biggest common factor number .

Step-1: Prime Factorization of 54275

Prime factors of 54275 are 5, 13, 167. Prime factorization of 54275 in exponential form is:

54275 = 5² × 13¹ × 167¹

Step-2: Prime Factorization of 54281

Prime factors of 54281 are 17, 31, 103. Prime factorization of 54281 in exponential form is:

54281 = 17¹ × 31¹ × 103¹

Step-3: Factors of 54275

List of positive integer factors of 54275 that divides 54275 without a remainder.

1, 5, 13, 25, 65, 167, 325, 835, 2171, 4175, 10855

Step-4: Factors of 54281

List of positive integer factors of 54281 that divides 54275 without a remainder.

1, 17, 31, 103, 527, 1751, 3193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54275 and 54281. The biggest common factor number is the GCF number.
So the greatest common factor 54275 and 54281 is 1.

Also check out the Least Common Multiple of 54275 and 54281