What is the Greatest Common Factor of 41200 and 41210?

Greatest common factor (GCF) of 41200 and 41210 is 10.

GCF(41200,41210) = 10

We will now calculate the prime factors of 41200 and 41210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41200 and 41210.

How to find the GCF of 41200 and 41210?

We will first find the prime factorization of 41200 and 41210. After we will calculate the factors of 41200 and 41210 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 41210

Prime factors of 41210 are 2, 5, 13, 317. Prime factorization of 41210 in exponential form is:

41210 = 2¹ × 5¹ × 13¹ × 317¹

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 41210

List of positive integer factors of 41210 that divides 41200 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 317, 634, 1585, 3170, 4121, 8242, 20605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41200 and 41210. The biggest common factor number is the GCF number.
So the greatest common factor 41200 and 41210 is 10.

Also check out the Least Common Multiple of 41200 and 41210