What is the Greatest Common Factor of 66240 and 66258?

Greatest common factor (GCF) of 66240 and 66258 is 18.

GCF(66240,66258) = 18

We will now calculate the prime factors of 66240 and 66258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66240 and 66258.

How to find the GCF of 66240 and 66258?

We will first find the prime factorization of 66240 and 66258. After we will calculate the factors of 66240 and 66258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66258

Prime factors of 66258 are 2, 3, 409. Prime factorization of 66258 in exponential form is:

66258 = 2¹ × 3⁴ × 409¹

Step-3: Factors of 66240

List of positive integer factors of 66240 that divides 66240 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

Step-4: Factors of 66258

List of positive integer factors of 66258 that divides 66240 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 409, 818, 1227, 2454, 3681, 7362, 11043, 22086, 33129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66240 and 66258. The biggest common factor number is the GCF number.
So the greatest common factor 66240 and 66258 is 18.

Also check out the Least Common Multiple of 66240 and 66258