What is the Greatest Common Factor of 53262 and 53280?

Greatest common factor (GCF) of 53262 and 53280 is 18.

GCF(53262,53280) = 18

We will now calculate the prime factors of 53262 and 53280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53262 and 53280.

How to find the GCF of 53262 and 53280?

We will first find the prime factorization of 53262 and 53280. After we will calculate the factors of 53262 and 53280 and find the biggest common factor number .

Step-1: Prime Factorization of 53262

Prime factors of 53262 are 2, 3, 11, 269. Prime factorization of 53262 in exponential form is:

53262 = 2¹ × 3² × 11¹ × 269¹

Step-2: 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-3: Factors of 53262

List of positive integer factors of 53262 that divides 53262 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 269, 538, 807, 1614, 2421, 2959, 4842, 5918, 8877, 17754, 26631

Step-4: Factors of 53280

List of positive integer factors of 53280 that divides 53262 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53262 and 53280. The biggest common factor number is the GCF number.
So the greatest common factor 53262 and 53280 is 18.

Also check out the Least Common Multiple of 53262 and 53280