What is the Greatest Common Factor of 53280 and 53286?

Greatest common factor (GCF) of 53280 and 53286 is 6.

GCF(53280,53286) = 6

We will now calculate the prime factors of 53280 and 53286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53280 and 53286.

How to find the GCF of 53280 and 53286?

We will first find the prime factorization of 53280 and 53286. After we will calculate the factors of 53280 and 53286 and find the biggest common factor number .

Step-1: Prime Factorization of 53280

Prime factors of 53280 are 2, 3, 5, 37. Prime factorization of 53280 in exponential form is:

53280 = 2⁵ × 3² × 5¹ × 37¹

Step-2: Prime Factorization of 53286

Prime factors of 53286 are 2, 3, 83, 107. Prime factorization of 53286 in exponential form is:

53286 = 2¹ × 3¹ × 83¹ × 107¹

Step-3: Factors of 53280

List of positive integer factors of 53280 that divides 53280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 37, 40, 45, 48, 60, 72, 74, 80, 90, 96, 111, 120, 144, 148, 160, 180, 185, 222, 240, 288, 296, 333, 360, 370, 444, 480, 555, 592, 666, 720, 740, 888, 1110, 1184, 1332, 1440, 1480, 1665, 1776, 2220, 2664, 2960, 3330, 3552, 4440, 5328, 5920, 6660, 8880, 10656, 13320, 17760, 26640

Step-4: Factors of 53286

List of positive integer factors of 53286 that divides 53280 without a remainder.

1, 2, 3, 6, 83, 107, 166, 214, 249, 321, 498, 642, 8881, 17762, 26643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53280 and 53286. The biggest common factor number is the GCF number.
So the greatest common factor 53280 and 53286 is 6.

Also check out the Least Common Multiple of 53280 and 53286