What is the Greatest Common Factor of 66185 and 66200?

Greatest common factor (GCF) of 66185 and 66200 is 5.

GCF(66185,66200) = 5

We will now calculate the prime factors of 66185 and 66200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66185 and 66200.

How to find the GCF of 66185 and 66200?

We will first find the prime factorization of 66185 and 66200. After we will calculate the factors of 66185 and 66200 and find the biggest common factor number .

Step-1: Prime Factorization of 66185

Prime factors of 66185 are 5, 7, 31, 61. Prime factorization of 66185 in exponential form is:

66185 = 5¹ × 7¹ × 31¹ × 61¹

Step-2: Prime Factorization of 66200

Prime factors of 66200 are 2, 5, 331. Prime factorization of 66200 in exponential form is:

66200 = 2³ × 5² × 331¹

Step-3: Factors of 66185

List of positive integer factors of 66185 that divides 66185 without a remainder.

1, 5, 7, 31, 35, 61, 155, 217, 305, 427, 1085, 1891, 2135, 9455, 13237

Step-4: Factors of 66200

List of positive integer factors of 66200 that divides 66185 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 331, 662, 1324, 1655, 2648, 3310, 6620, 8275, 13240, 16550, 33100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66185 and 66200. The biggest common factor number is the GCF number.
So the greatest common factor 66185 and 66200 is 5.

Also check out the Least Common Multiple of 66185 and 66200