What is the Greatest Common Factor of 66150 and 66154?

Greatest common factor (GCF) of 66150 and 66154 is 2.

GCF(66150,66154) = 2

We will now calculate the prime factors of 66150 and 66154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66150 and 66154.

How to find the GCF of 66150 and 66154?

We will first find the prime factorization of 66150 and 66154. After we will calculate the factors of 66150 and 66154 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 66154

Prime factors of 66154 are 2, 11, 31, 97. Prime factorization of 66154 in exponential form is:

66154 = 2¹ × 11¹ × 31¹ × 97¹

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 66154

List of positive integer factors of 66154 that divides 66150 without a remainder.

1, 2, 11, 22, 31, 62, 97, 194, 341, 682, 1067, 2134, 3007, 6014, 33077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66150 and 66154. The biggest common factor number is the GCF number.
So the greatest common factor 66150 and 66154 is 2.

Also check out the Least Common Multiple of 66150 and 66154