What is the Greatest Common Factor of 66231 and 66240?

Greatest common factor (GCF) of 66231 and 66240 is 9.

GCF(66231,66240) = 9

We will now calculate the prime factors of 66231 and 66240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66231 and 66240.

How to find the GCF of 66231 and 66240?

We will first find the prime factorization of 66231 and 66240. After we will calculate the factors of 66231 and 66240 and find the biggest common factor number .

Step-1: Prime Factorization of 66231

Prime factors of 66231 are 3, 11, 223. Prime factorization of 66231 in exponential form is:

66231 = 3³ × 11¹ × 223¹

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 66231

List of positive integer factors of 66231 that divides 66231 without a remainder.

1, 3, 9, 11, 27, 33, 99, 223, 297, 669, 2007, 2453, 6021, 7359, 22077

Step-4: Factors of 66240

List of positive integer factors of 66240 that divides 66231 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 66231 and 66240. The biggest common factor number is the GCF number.
So the greatest common factor 66231 and 66240 is 9.

Also check out the Least Common Multiple of 66231 and 66240