What is the Greatest Common Factor of 41200 and 41220?

Greatest common factor (GCF) of 41200 and 41220 is 20.

GCF(41200,41220) = 20

We will now calculate the prime factors of 41200 and 41220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41200 and 41220.

How to find the GCF of 41200 and 41220?

We will first find the prime factorization of 41200 and 41220. After we will calculate the factors of 41200 and 41220 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 41220

Prime factors of 41220 are 2, 3, 5, 229. Prime factorization of 41220 in exponential form is:

41220 = 2² × 3² × 5¹ × 229¹

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 41220

List of positive integer factors of 41220 that divides 41200 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 229, 458, 687, 916, 1145, 1374, 2061, 2290, 2748, 3435, 4122, 4580, 6870, 8244, 10305, 13740, 20610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41200 and 41220. The biggest common factor number is the GCF number.
So the greatest common factor 41200 and 41220 is 20.

Also check out the Least Common Multiple of 41200 and 41220