What is the Greatest Common Factor of 55277 and 55297?

Greatest common factor (GCF) of 55277 and 55297 is 1.

GCF(55277,55297) = 1

We will now calculate the prime factors of 55277 and 55297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55277 and 55297.

How to find the GCF of 55277 and 55297?

We will first find the prime factorization of 55277 and 55297. After we will calculate the factors of 55277 and 55297 and find the biggest common factor number .

Step-1: Prime Factorization of 55277

Prime factors of 55277 are 167, 331. Prime factorization of 55277 in exponential form is:

55277 = 167¹ × 331¹

Step-2: Prime Factorization of 55297

Prime factors of 55297 are 11, 457. Prime factorization of 55297 in exponential form is:

55297 = 11² × 457¹

Step-3: Factors of 55277

List of positive integer factors of 55277 that divides 55277 without a remainder.

1, 167, 331

Step-4: Factors of 55297

List of positive integer factors of 55297 that divides 55277 without a remainder.

1, 11, 121, 457, 5027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55277 and 55297. The biggest common factor number is the GCF number.
So the greatest common factor 55277 and 55297 is 1.

Also check out the Least Common Multiple of 55277 and 55297