What is the Greatest Common Factor of 41200 and 41206?

Greatest common factor (GCF) of 41200 and 41206 is 2.

GCF(41200,41206) = 2

We will now calculate the prime factors of 41200 and 41206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41200 and 41206.

How to find the GCF of 41200 and 41206?

We will first find the prime factorization of 41200 and 41206. After we will calculate the factors of 41200 and 41206 and find the biggest common factor number .

Step-1: Prime Factorization of 41200

Prime factors of 41200 are 2, 5, 103. Prime factorization of 41200 in exponential form is:

41200 = 2⁴ × 5² × 103¹

Step-2: Prime Factorization of 41206

Prime factors of 41206 are 2, 11, 1873. Prime factorization of 41206 in exponential form is:

41206 = 2¹ × 11¹ × 1873¹

Step-3: Factors of 41200

List of positive integer factors of 41200 that divides 41200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 103, 200, 206, 400, 412, 515, 824, 1030, 1648, 2060, 2575, 4120, 5150, 8240, 10300, 20600

Step-4: Factors of 41206

List of positive integer factors of 41206 that divides 41200 without a remainder.

1, 2, 11, 22, 1873, 3746, 20603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41200 and 41206. The biggest common factor number is the GCF number.
So the greatest common factor 41200 and 41206 is 2.

Also check out the Least Common Multiple of 41200 and 41206