What is the Greatest Common Factor of 40200 and 40211?

Greatest common factor (GCF) of 40200 and 40211 is 1.

GCF(40200,40211) = 1

We will now calculate the prime factors of 40200 and 40211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40200 and 40211.

How to find the GCF of 40200 and 40211?

We will first find the prime factorization of 40200 and 40211. After we will calculate the factors of 40200 and 40211 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 40211

Prime factors of 40211 are 79, 509. Prime factorization of 40211 in exponential form is:

40211 = 79¹ × 509¹

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 40211

List of positive integer factors of 40211 that divides 40200 without a remainder.

1, 79, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40200 and 40211. The biggest common factor number is the GCF number.
So the greatest common factor 40200 and 40211 is 1.

Also check out the Least Common Multiple of 40200 and 40211