What is the Greatest Common Factor of 66225 and 66240?

Greatest common factor (GCF) of 66225 and 66240 is 15.

GCF(66225,66240) = 15

We will now calculate the prime factors of 66225 and 66240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66225 and 66240.

How to find the GCF of 66225 and 66240?

We will first find the prime factorization of 66225 and 66240. After we will calculate the factors of 66225 and 66240 and find the biggest common factor number .

Step-1: Prime Factorization of 66225

Prime factors of 66225 are 3, 5, 883. Prime factorization of 66225 in exponential form is:

66225 = 3¹ × 5² × 883¹

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 66225

List of positive integer factors of 66225 that divides 66225 without a remainder.

1, 3, 5, 15, 25, 75, 883, 2649, 4415, 13245, 22075

Step-4: Factors of 66240

List of positive integer factors of 66240 that divides 66225 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 66225 and 66240. The biggest common factor number is the GCF number.
So the greatest common factor 66225 and 66240 is 15.

Also check out the Least Common Multiple of 66225 and 66240