What is the Greatest Common Factor of 41190 and 41199?

Greatest common factor (GCF) of 41190 and 41199 is 3.

GCF(41190,41199) = 3

We will now calculate the prime factors of 41190 and 41199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41190 and 41199.

How to find the GCF of 41190 and 41199?

We will first find the prime factorization of 41190 and 41199. After we will calculate the factors of 41190 and 41199 and find the biggest common factor number .

Step-1: Prime Factorization of 41190

Prime factors of 41190 are 2, 3, 5, 1373. Prime factorization of 41190 in exponential form is:

41190 = 2¹ × 3¹ × 5¹ × 1373¹

Step-2: Prime Factorization of 41199

Prime factors of 41199 are 3, 31, 443. Prime factorization of 41199 in exponential form is:

41199 = 3¹ × 31¹ × 443¹

Step-3: Factors of 41190

List of positive integer factors of 41190 that divides 41190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1373, 2746, 4119, 6865, 8238, 13730, 20595

Step-4: Factors of 41199

List of positive integer factors of 41199 that divides 41190 without a remainder.

1, 3, 31, 93, 443, 1329, 13733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41190 and 41199. The biggest common factor number is the GCF number.
So the greatest common factor 41190 and 41199 is 3.

Also check out the Least Common Multiple of 41190 and 41199