What is the Greatest Common Factor of 55286 and 55300?

Greatest common factor (GCF) of 55286 and 55300 is 14.

GCF(55286,55300) = 14

We will now calculate the prime factors of 55286 and 55300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55286 and 55300.

How to find the GCF of 55286 and 55300?

We will first find the prime factorization of 55286 and 55300. After we will calculate the factors of 55286 and 55300 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 55300

Prime factors of 55300 are 2, 5, 7, 79. Prime factorization of 55300 in exponential form is:

55300 = 2² × 5² × 7¹ × 79¹

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 55300

List of positive integer factors of 55300 that divides 55286 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 79, 100, 140, 158, 175, 316, 350, 395, 553, 700, 790, 1106, 1580, 1975, 2212, 2765, 3950, 5530, 7900, 11060, 13825, 27650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55286 and 55300. The biggest common factor number is the GCF number.
So the greatest common factor 55286 and 55300 is 14.

Also check out the Least Common Multiple of 55286 and 55300