What is the Greatest Common Factor of 55286 and 55293?

Greatest common factor (GCF) of 55286 and 55293 is 7.

GCF(55286,55293) = 7

We will now calculate the prime factors of 55286 and 55293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55286 and 55293.

How to find the GCF of 55286 and 55293?

We will first find the prime factorization of 55286 and 55293. After we will calculate the factors of 55286 and 55293 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55293

Prime factors of 55293 are 3, 7, 2633. Prime factorization of 55293 in exponential form is:

55293 = 3¹ × 7¹ × 2633¹

Step-3: Factors of 55286

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

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

Step-4: Factors of 55293

List of positive integer factors of 55293 that divides 55286 without a remainder.

1, 3, 7, 21, 2633, 7899, 18431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55286 and 55293. The biggest common factor number is the GCF number.
So the greatest common factor 55286 and 55293 is 7.

Also check out the Least Common Multiple of 55286 and 55293