What is the Greatest Common Factor of 66150 and 66164?

Greatest common factor (GCF) of 66150 and 66164 is 14.

GCF(66150,66164) = 14

We will now calculate the prime factors of 66150 and 66164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66150 and 66164.

How to find the GCF of 66150 and 66164?

We will first find the prime factorization of 66150 and 66164. After we will calculate the factors of 66150 and 66164 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 66164

Prime factors of 66164 are 2, 7, 17, 139. Prime factorization of 66164 in exponential form is:

66164 = 2² × 7¹ × 17¹ × 139¹

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 66164

List of positive integer factors of 66164 that divides 66150 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 139, 238, 278, 476, 556, 973, 1946, 2363, 3892, 4726, 9452, 16541, 33082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66150 and 66164. The biggest common factor number is the GCF number.
So the greatest common factor 66150 and 66164 is 14.

Also check out the Least Common Multiple of 66150 and 66164