What is the Greatest Common Factor of 40170 and 40180?

Greatest common factor (GCF) of 40170 and 40180 is 10.

GCF(40170,40180) = 10

We will now calculate the prime factors of 40170 and 40180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40170 and 40180.

How to find the GCF of 40170 and 40180?

We will first find the prime factorization of 40170 and 40180. After we will calculate the factors of 40170 and 40180 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 40180

Prime factors of 40180 are 2, 5, 7, 41. Prime factorization of 40180 in exponential form is:

40180 = 2² × 5¹ × 7² × 41¹

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 40180

List of positive integer factors of 40180 that divides 40170 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 41, 49, 70, 82, 98, 140, 164, 196, 205, 245, 287, 410, 490, 574, 820, 980, 1148, 1435, 2009, 2870, 4018, 5740, 8036, 10045, 20090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40170 and 40180. The biggest common factor number is the GCF number.
So the greatest common factor 40170 and 40180 is 10.

Also check out the Least Common Multiple of 40170 and 40180