What is the Greatest Common Factor of 94185 and 94200?

Greatest common factor (GCF) of 94185 and 94200 is 15.

GCF(94185,94200) = 15

We will now calculate the prime factors of 94185 and 94200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94185 and 94200.

How to find the GCF of 94185 and 94200?

We will first find the prime factorization of 94185 and 94200. After we will calculate the factors of 94185 and 94200 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 94200

Prime factors of 94200 are 2, 3, 5, 157. Prime factorization of 94200 in exponential form is:

94200 = 2³ × 3¹ × 5² × 157¹

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 94200

List of positive integer factors of 94200 that divides 94185 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 157, 200, 300, 314, 471, 600, 628, 785, 942, 1256, 1570, 1884, 2355, 3140, 3768, 3925, 4710, 6280, 7850, 9420, 11775, 15700, 18840, 23550, 31400, 47100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94185 and 94200. The biggest common factor number is the GCF number.
So the greatest common factor 94185 and 94200 is 15.

Also check out the Least Common Multiple of 94185 and 94200