What is the Greatest Common Factor of 66140 and 66150?

Greatest common factor (GCF) of 66140 and 66150 is 10.

GCF(66140,66150) = 10

We will now calculate the prime factors of 66140 and 66150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66140 and 66150.

How to find the GCF of 66140 and 66150?

We will first find the prime factorization of 66140 and 66150. After we will calculate the factors of 66140 and 66150 and find the biggest common factor number .

Step-1: Prime Factorization of 66140

Prime factors of 66140 are 2, 5, 3307. Prime factorization of 66140 in exponential form is:

66140 = 2² × 5¹ × 3307¹

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 66140

List of positive integer factors of 66140 that divides 66140 without a remainder.

1, 2, 4, 5, 10, 20, 3307, 6614, 13228, 16535, 33070

Step-4: Factors of 66150

List of positive integer factors of 66150 that divides 66140 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 66140 and 66150. The biggest common factor number is the GCF number.
So the greatest common factor 66140 and 66150 is 10.

Also check out the Least Common Multiple of 66140 and 66150