What is the Greatest Common Factor of 40170 and 40185?

Greatest common factor (GCF) of 40170 and 40185 is 15.

GCF(40170,40185) = 15

We will now calculate the prime factors of 40170 and 40185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40170 and 40185.

How to find the GCF of 40170 and 40185?

We will first find the prime factorization of 40170 and 40185. After we will calculate the factors of 40170 and 40185 and find the biggest common factor number .

Step-1: Prime Factorization of 40170

Prime factors of 40170 are 2, 3, 5, 13, 103. Prime factorization of 40170 in exponential form is:

40170 = 2¹ × 3¹ × 5¹ × 13¹ × 103¹

Step-2: 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-3: Factors of 40170

List of positive integer factors of 40170 that divides 40170 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 103, 130, 195, 206, 309, 390, 515, 618, 1030, 1339, 1545, 2678, 3090, 4017, 6695, 8034, 13390, 20085

Step-4: Factors of 40185

List of positive integer factors of 40185 that divides 40170 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40170 and 40185. The biggest common factor number is the GCF number.
So the greatest common factor 40170 and 40185 is 15.

Also check out the Least Common Multiple of 40170 and 40185