What is the Greatest Common Factor of 66228 and 66240?

Greatest common factor (GCF) of 66228 and 66240 is 12.

GCF(66228,66240) = 12

We will now calculate the prime factors of 66228 and 66240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66228 and 66240.

How to find the GCF of 66228 and 66240?

We will first find the prime factorization of 66228 and 66240. After we will calculate the factors of 66228 and 66240 and find the biggest common factor number .

Step-1: Prime Factorization of 66228

Prime factors of 66228 are 2, 3, 5519. Prime factorization of 66228 in exponential form is:

66228 = 2² × 3¹ × 5519¹

Step-2: Prime Factorization of 66240

Prime factors of 66240 are 2, 3, 5, 23. Prime factorization of 66240 in exponential form is:

66240 = 2⁶ × 3² × 5¹ × 23¹

Step-3: Factors of 66228

List of positive integer factors of 66228 that divides 66228 without a remainder.

1, 2, 3, 4, 6, 12, 5519, 11038, 16557, 22076, 33114

Step-4: Factors of 66240

List of positive integer factors of 66240 that divides 66228 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 32, 36, 40, 45, 46, 48, 60, 64, 69, 72, 80, 90, 92, 96, 115, 120, 138, 144, 160, 180, 184, 192, 207, 230, 240, 276, 288, 320, 345, 360, 368, 414, 460, 480, 552, 576, 690, 720, 736, 828, 920, 960, 1035, 1104, 1380, 1440, 1472, 1656, 1840, 2070, 2208, 2760, 2880, 3312, 3680, 4140, 4416, 5520, 6624, 7360, 8280, 11040, 13248, 16560, 22080, 33120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66228 and 66240. The biggest common factor number is the GCF number.
So the greatest common factor 66228 and 66240 is 12.

Also check out the Least Common Multiple of 66228 and 66240