What is the Greatest Common Factor of 40200 and 40215?

Greatest common factor (GCF) of 40200 and 40215 is 15.

GCF(40200,40215) = 15

We will now calculate the prime factors of 40200 and 40215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40200 and 40215.

How to find the GCF of 40200 and 40215?

We will first find the prime factorization of 40200 and 40215. After we will calculate the factors of 40200 and 40215 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40215

Prime factors of 40215 are 3, 5, 7, 383. Prime factorization of 40215 in exponential form is:

40215 = 3¹ × 5¹ × 7¹ × 383¹

Step-3: Factors of 40200

List of positive integer factors of 40200 that divides 40200 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

Step-4: Factors of 40215

List of positive integer factors of 40215 that divides 40200 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 383, 1149, 1915, 2681, 5745, 8043, 13405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40200 and 40215. The biggest common factor number is the GCF number.
So the greatest common factor 40200 and 40215 is 15.

Also check out the Least Common Multiple of 40200 and 40215