What is the Greatest Common Factor of 94185 and 94190?

Greatest common factor (GCF) of 94185 and 94190 is 5.

GCF(94185,94190) = 5

We will now calculate the prime factors of 94185 and 94190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94185 and 94190.

How to find the GCF of 94185 and 94190?

We will first find the prime factorization of 94185 and 94190. After we will calculate the factors of 94185 and 94190 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 94190

Prime factors of 94190 are 2, 5, 9419. Prime factorization of 94190 in exponential form is:

94190 = 2¹ × 5¹ × 9419¹

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 94190

List of positive integer factors of 94190 that divides 94185 without a remainder.

1, 2, 5, 10, 9419, 18838, 47095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94185 and 94190. The biggest common factor number is the GCF number.
So the greatest common factor 94185 and 94190 is 5.

Also check out the Least Common Multiple of 94185 and 94190