What is the Greatest Common Factor of 66150 and 66159?

Greatest common factor (GCF) of 66150 and 66159 is 9.

GCF(66150,66159) = 9

We will now calculate the prime factors of 66150 and 66159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66150 and 66159.

How to find the GCF of 66150 and 66159?

We will first find the prime factorization of 66150 and 66159. After we will calculate the factors of 66150 and 66159 and find the biggest common factor number .

Step-1: Prime Factorization of 66150

Prime factors of 66150 are 2, 3, 5, 7. Prime factorization of 66150 in exponential form is:

66150 = 2¹ × 3³ × 5² × 7²

Step-2: Prime Factorization of 66159

Prime factors of 66159 are 3, 7351. Prime factorization of 66159 in exponential form is:

66159 = 3² × 7351¹

Step-3: Factors of 66150

List of positive integer factors of 66150 that divides 66150 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 49, 50, 54, 63, 70, 75, 90, 98, 105, 126, 135, 147, 150, 175, 189, 210, 225, 245, 270, 294, 315, 350, 378, 441, 450, 490, 525, 630, 675, 735, 882, 945, 1050, 1225, 1323, 1350, 1470, 1575, 1890, 2205, 2450, 2646, 3150, 3675, 4410, 4725, 6615, 7350, 9450, 11025, 13230, 22050, 33075

Step-4: Factors of 66159

List of positive integer factors of 66159 that divides 66150 without a remainder.

1, 3, 9, 7351, 22053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66150 and 66159. The biggest common factor number is the GCF number.
So the greatest common factor 66150 and 66159 is 9.

Also check out the Least Common Multiple of 66150 and 66159