What is the Greatest Common Factor of 55275 and 55284?

Greatest common factor (GCF) of 55275 and 55284 is 3.

GCF(55275,55284) = 3

We will now calculate the prime factors of 55275 and 55284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55275 and 55284.

How to find the GCF of 55275 and 55284?

We will first find the prime factorization of 55275 and 55284. After we will calculate the factors of 55275 and 55284 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55284

Prime factors of 55284 are 2, 3, 17, 271. Prime factorization of 55284 in exponential form is:

55284 = 2² × 3¹ × 17¹ × 271¹

Step-3: Factors of 55275

List of positive integer factors of 55275 that divides 55275 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

Step-4: Factors of 55284

List of positive integer factors of 55284 that divides 55275 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 271, 542, 813, 1084, 1626, 3252, 4607, 9214, 13821, 18428, 27642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55275 and 55284. The biggest common factor number is the GCF number.
So the greatest common factor 55275 and 55284 is 3.

Also check out the Least Common Multiple of 55275 and 55284