What is the Greatest Common Factor of 41200 and 41213?

Greatest common factor (GCF) of 41200 and 41213 is 1.

GCF(41200,41213) = 1

We will now calculate the prime factors of 41200 and 41213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41200 and 41213.

How to find the GCF of 41200 and 41213?

We will first find the prime factorization of 41200 and 41213. After we will calculate the factors of 41200 and 41213 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 41213

Prime factors of 41213 are 41213. Prime factorization of 41213 in exponential form is:

41213 = 41213¹

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 41213

List of positive integer factors of 41213 that divides 41200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41200 and 41213. The biggest common factor number is the GCF number.
So the greatest common factor 41200 and 41213 is 1.

Also check out the Least Common Multiple of 41200 and 41213