What is the Greatest Common Factor of 94185 and 94194?

Greatest common factor (GCF) of 94185 and 94194 is 9.

GCF(94185,94194) = 9

We will now calculate the prime factors of 94185 and 94194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94185 and 94194.

How to find the GCF of 94185 and 94194?

We will first find the prime factorization of 94185 and 94194. After we will calculate the factors of 94185 and 94194 and find the biggest common factor number .

Step-1: Prime Factorization of 94185

Prime factors of 94185 are 3, 5, 7, 13, 23. Prime factorization of 94185 in exponential form is:

94185 = 3² × 5¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 94194

Prime factors of 94194 are 2, 3, 5233. Prime factorization of 94194 in exponential form is:

94194 = 2¹ × 3² × 5233¹

Step-3: Factors of 94185

List of positive integer factors of 94185 that divides 94185 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 23, 35, 39, 45, 63, 65, 69, 91, 105, 115, 117, 161, 195, 207, 273, 299, 315, 345, 455, 483, 585, 805, 819, 897, 1035, 1365, 1449, 1495, 2093, 2415, 2691, 4095, 4485, 6279, 7245, 10465, 13455, 18837, 31395

Step-4: Factors of 94194

List of positive integer factors of 94194 that divides 94185 without a remainder.

1, 2, 3, 6, 9, 18, 5233, 10466, 15699, 31398, 47097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94185 and 94194. The biggest common factor number is the GCF number.
So the greatest common factor 94185 and 94194 is 9.

Also check out the Least Common Multiple of 94185 and 94194