What is the Greatest Common Factor of 40185 and 40204?

Greatest common factor (GCF) of 40185 and 40204 is 19.

GCF(40185,40204) = 19

We will now calculate the prime factors of 40185 and 40204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40185 and 40204.

How to find the GCF of 40185 and 40204?

We will first find the prime factorization of 40185 and 40204. After we will calculate the factors of 40185 and 40204 and find the biggest common factor number .

Step-1: Prime Factorization of 40185

Prime factors of 40185 are 3, 5, 19, 47. Prime factorization of 40185 in exponential form is:

40185 = 3² × 5¹ × 19¹ × 47¹

Step-2: Prime Factorization of 40204

Prime factors of 40204 are 2, 19, 23. Prime factorization of 40204 in exponential form is:

40204 = 2² × 19¹ × 23²

Step-3: Factors of 40185

List of positive integer factors of 40185 that divides 40185 without a remainder.

1, 3, 5, 9, 15, 19, 45, 47, 57, 95, 141, 171, 235, 285, 423, 705, 855, 893, 2115, 2679, 4465, 8037, 13395

Step-4: Factors of 40204

List of positive integer factors of 40204 that divides 40185 without a remainder.

1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 529, 874, 1058, 1748, 2116, 10051, 20102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40185 and 40204. The biggest common factor number is the GCF number.
So the greatest common factor 40185 and 40204 is 19.

Also check out the Least Common Multiple of 40185 and 40204