What is the Greatest Common Factor of 55257 and 55269?

Greatest common factor (GCF) of 55257 and 55269 is 3.

GCF(55257,55269) = 3

We will now calculate the prime factors of 55257 and 55269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55257 and 55269.

How to find the GCF of 55257 and 55269?

We will first find the prime factorization of 55257 and 55269. After we will calculate the factors of 55257 and 55269 and find the biggest common factor number .

Step-1: Prime Factorization of 55257

Prime factors of 55257 are 3, 113, 163. Prime factorization of 55257 in exponential form is:

55257 = 3¹ × 113¹ × 163¹

Step-2: Prime Factorization of 55269

Prime factors of 55269 are 3, 23, 89. Prime factorization of 55269 in exponential form is:

55269 = 3³ × 23¹ × 89¹

Step-3: Factors of 55257

List of positive integer factors of 55257 that divides 55257 without a remainder.

1, 3, 113, 163, 339, 489, 18419

Step-4: Factors of 55269

List of positive integer factors of 55269 that divides 55257 without a remainder.

1, 3, 9, 23, 27, 69, 89, 207, 267, 621, 801, 2047, 2403, 6141, 18423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55257 and 55269. The biggest common factor number is the GCF number.
So the greatest common factor 55257 and 55269 is 3.

Also check out the Least Common Multiple of 55257 and 55269