What is the Greatest Common Factor of 66185 and 66190?

Greatest common factor (GCF) of 66185 and 66190 is 5.

GCF(66185,66190) = 5

We will now calculate the prime factors of 66185 and 66190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66185 and 66190.

How to find the GCF of 66185 and 66190?

We will first find the prime factorization of 66185 and 66190. After we will calculate the factors of 66185 and 66190 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 66190

Prime factors of 66190 are 2, 5, 6619. Prime factorization of 66190 in exponential form is:

66190 = 2¹ × 5¹ × 6619¹

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 66190

List of positive integer factors of 66190 that divides 66185 without a remainder.

1, 2, 5, 10, 6619, 13238, 33095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66185 and 66190. The biggest common factor number is the GCF number.
So the greatest common factor 66185 and 66190 is 5.

Also check out the Least Common Multiple of 66185 and 66190