What is the Greatest Common Factor of 66136 and 66150?

Greatest common factor (GCF) of 66136 and 66150 is 14.

GCF(66136,66150) = 14

We will now calculate the prime factors of 66136 and 66150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66136 and 66150.

How to find the GCF of 66136 and 66150?

We will first find the prime factorization of 66136 and 66150. After we will calculate the factors of 66136 and 66150 and find the biggest common factor number .

Step-1: Prime Factorization of 66136

Prime factors of 66136 are 2, 7, 1181. Prime factorization of 66136 in exponential form is:

66136 = 2³ × 7¹ × 1181¹

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 66136

List of positive integer factors of 66136 that divides 66136 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1181, 2362, 4724, 8267, 9448, 16534, 33068

Step-4: Factors of 66150

List of positive integer factors of 66150 that divides 66136 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 66136 and 66150. The biggest common factor number is the GCF number.
So the greatest common factor 66136 and 66150 is 14.

Also check out the Least Common Multiple of 66136 and 66150