What is the Greatest Common Factor of 94170 and 94185?

Greatest common factor (GCF) of 94170 and 94185 is 15.

GCF(94170,94185) = 15

We will now calculate the prime factors of 94170 and 94185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94170 and 94185.

How to find the GCF of 94170 and 94185?

We will first find the prime factorization of 94170 and 94185. After we will calculate the factors of 94170 and 94185 and find the biggest common factor number .

Step-1: Prime Factorization of 94170

Prime factors of 94170 are 2, 3, 5, 43, 73. Prime factorization of 94170 in exponential form is:

94170 = 2¹ × 3¹ × 5¹ × 43¹ × 73¹

Step-2: 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-3: Factors of 94170

List of positive integer factors of 94170 that divides 94170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 73, 86, 129, 146, 215, 219, 258, 365, 430, 438, 645, 730, 1095, 1290, 2190, 3139, 6278, 9417, 15695, 18834, 31390, 47085

Step-4: Factors of 94185

List of positive integer factors of 94185 that divides 94170 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94170 and 94185. The biggest common factor number is the GCF number.
So the greatest common factor 94170 and 94185 is 15.

Also check out the Least Common Multiple of 94170 and 94185