What is the Greatest Common Factor of 55275 and 55286?

Greatest common factor (GCF) of 55275 and 55286 is 11.

GCF(55275,55286) = 11

We will now calculate the prime factors of 55275 and 55286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55275 and 55286.

How to find the GCF of 55275 and 55286?

We will first find the prime factorization of 55275 and 55286. After we will calculate the factors of 55275 and 55286 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 55286

Prime factors of 55286 are 2, 7, 11, 359. Prime factorization of 55286 in exponential form is:

55286 = 2¹ × 7¹ × 11¹ × 359¹

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 55286

List of positive integer factors of 55286 that divides 55275 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 359, 718, 2513, 3949, 5026, 7898, 27643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55275 and 55286. The biggest common factor number is the GCF number.
So the greatest common factor 55275 and 55286 is 11.

Also check out the Least Common Multiple of 55275 and 55286