What is the Greatest Common Factor of 40200 and 40216?

Greatest common factor (GCF) of 40200 and 40216 is 8.

GCF(40200,40216) = 8

We will now calculate the prime factors of 40200 and 40216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40200 and 40216.

How to find the GCF of 40200 and 40216?

We will first find the prime factorization of 40200 and 40216. After we will calculate the factors of 40200 and 40216 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 40216

Prime factors of 40216 are 2, 11, 457. Prime factorization of 40216 in exponential form is:

40216 = 2³ × 11¹ × 457¹

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 40216

List of positive integer factors of 40216 that divides 40200 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 457, 914, 1828, 3656, 5027, 10054, 20108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40200 and 40216. The biggest common factor number is the GCF number.
So the greatest common factor 40200 and 40216 is 8.

Also check out the Least Common Multiple of 40200 and 40216