What is the Greatest Common Factor of 66138 and 66150?

Greatest common factor (GCF) of 66138 and 66150 is 6.

GCF(66138,66150) = 6

We will now calculate the prime factors of 66138 and 66150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66138 and 66150.

How to find the GCF of 66138 and 66150?

We will first find the prime factorization of 66138 and 66150. After we will calculate the factors of 66138 and 66150 and find the biggest common factor number .

Step-1: Prime Factorization of 66138

Prime factors of 66138 are 2, 3, 73, 151. Prime factorization of 66138 in exponential form is:

66138 = 2¹ × 3¹ × 73¹ × 151¹

Step-2: 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-3: Factors of 66138

List of positive integer factors of 66138 that divides 66138 without a remainder.

1, 2, 3, 6, 73, 146, 151, 219, 302, 438, 453, 906, 11023, 22046, 33069

Step-4: Factors of 66150

List of positive integer factors of 66150 that divides 66138 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66138 and 66150. The biggest common factor number is the GCF number.
So the greatest common factor 66138 and 66150 is 6.

Also check out the Least Common Multiple of 66138 and 66150