What is the Greatest Common Factor of 40185 and 40205?

Greatest common factor (GCF) of 40185 and 40205 is 5.

GCF(40185,40205) = 5

We will now calculate the prime factors of 40185 and 40205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40185 and 40205.

How to find the GCF of 40185 and 40205?

We will first find the prime factorization of 40185 and 40205. After we will calculate the factors of 40185 and 40205 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 40205

Prime factors of 40205 are 5, 11, 17, 43. Prime factorization of 40205 in exponential form is:

40205 = 5¹ × 11¹ × 17¹ × 43¹

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 40205

List of positive integer factors of 40205 that divides 40185 without a remainder.

1, 5, 11, 17, 43, 55, 85, 187, 215, 473, 731, 935, 2365, 3655, 8041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40185 and 40205. The biggest common factor number is the GCF number.
So the greatest common factor 40185 and 40205 is 5.

Also check out the Least Common Multiple of 40185 and 40205