What is the Greatest Common Factor of 40180 and 40200?

Greatest common factor (GCF) of 40180 and 40200 is 20.

GCF(40180,40200) = 20

We will now calculate the prime factors of 40180 and 40200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40180 and 40200.

How to find the GCF of 40180 and 40200?

We will first find the prime factorization of 40180 and 40200. After we will calculate the factors of 40180 and 40200 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40200

Prime factors of 40200 are 2, 3, 5, 67. Prime factorization of 40200 in exponential form is:

40200 = 2³ × 3¹ × 5² × 67¹

Step-3: Factors of 40180

List of positive integer factors of 40180 that divides 40180 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

Step-4: Factors of 40200

List of positive integer factors of 40200 that divides 40180 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 67, 75, 100, 120, 134, 150, 200, 201, 268, 300, 335, 402, 536, 600, 670, 804, 1005, 1340, 1608, 1675, 2010, 2680, 3350, 4020, 5025, 6700, 8040, 10050, 13400, 20100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40180 and 40200. The biggest common factor number is the GCF number.
So the greatest common factor 40180 and 40200 is 20.

Also check out the Least Common Multiple of 40180 and 40200