What is the Greatest Common Factor of 66170 and 66185?

Greatest common factor (GCF) of 66170 and 66185 is 5.

GCF(66170,66185) = 5

We will now calculate the prime factors of 66170 and 66185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66170 and 66185.

How to find the GCF of 66170 and 66185?

We will first find the prime factorization of 66170 and 66185. After we will calculate the factors of 66170 and 66185 and find the biggest common factor number .

Step-1: Prime Factorization of 66170

Prime factors of 66170 are 2, 5, 13, 509. Prime factorization of 66170 in exponential form is:

66170 = 2¹ × 5¹ × 13¹ × 509¹

Step-2: 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-3: Factors of 66170

List of positive integer factors of 66170 that divides 66170 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 509, 1018, 2545, 5090, 6617, 13234, 33085

Step-4: Factors of 66185

List of positive integer factors of 66185 that divides 66170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66170 and 66185. The biggest common factor number is the GCF number.
So the greatest common factor 66170 and 66185 is 5.

Also check out the Least Common Multiple of 66170 and 66185