What is the Greatest Common Factor of 41220 and 41228?

Greatest common factor (GCF) of 41220 and 41228 is 4.

GCF(41220,41228) = 4

We will now calculate the prime factors of 41220 and 41228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41220 and 41228.

How to find the GCF of 41220 and 41228?

We will first find the prime factorization of 41220 and 41228. After we will calculate the factors of 41220 and 41228 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41228

Prime factors of 41228 are 2, 11, 937. Prime factorization of 41228 in exponential form is:

41228 = 2² × 11¹ × 937¹

Step-3: Factors of 41220

List of positive integer factors of 41220 that divides 41220 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

Step-4: Factors of 41228

List of positive integer factors of 41228 that divides 41220 without a remainder.

1, 2, 4, 11, 22, 44, 937, 1874, 3748, 10307, 20614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41220 and 41228. The biggest common factor number is the GCF number.
So the greatest common factor 41220 and 41228 is 4.

Also check out the Least Common Multiple of 41220 and 41228