What is the Greatest Common Factor of 55269 and 55275?

Greatest common factor (GCF) of 55269 and 55275 is 3.

GCF(55269,55275) = 3

We will now calculate the prime factors of 55269 and 55275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55269 and 55275.

How to find the GCF of 55269 and 55275?

We will first find the prime factorization of 55269 and 55275. After we will calculate the factors of 55269 and 55275 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55275

Prime factors of 55275 are 3, 5, 11, 67. Prime factorization of 55275 in exponential form is:

55275 = 3¹ × 5² × 11¹ × 67¹

Step-3: Factors of 55269

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

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

Step-4: Factors of 55275

List of positive integer factors of 55275 that divides 55269 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 67, 75, 165, 201, 275, 335, 737, 825, 1005, 1675, 2211, 3685, 5025, 11055, 18425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55269 and 55275. The biggest common factor number is the GCF number.
So the greatest common factor 55269 and 55275 is 3.

Also check out the Least Common Multiple of 55269 and 55275