What is the Greatest Common Factor of 41199 and 41208?

Greatest common factor (GCF) of 41199 and 41208 is 3.

GCF(41199,41208) = 3

We will now calculate the prime factors of 41199 and 41208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41199 and 41208.

How to find the GCF of 41199 and 41208?

We will first find the prime factorization of 41199 and 41208. After we will calculate the factors of 41199 and 41208 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41208

Prime factors of 41208 are 2, 3, 17, 101. Prime factorization of 41208 in exponential form is:

41208 = 2³ × 3¹ × 17¹ × 101¹

Step-3: Factors of 41199

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

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

Step-4: Factors of 41208

List of positive integer factors of 41208 that divides 41199 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 101, 102, 136, 202, 204, 303, 404, 408, 606, 808, 1212, 1717, 2424, 3434, 5151, 6868, 10302, 13736, 20604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41199 and 41208. The biggest common factor number is the GCF number.
So the greatest common factor 41199 and 41208 is 3.

Also check out the Least Common Multiple of 41199 and 41208