What is the Greatest Common Factor of 41196 and 41208?

Greatest common factor (GCF) of 41196 and 41208 is 12.

GCF(41196,41208) = 12

We will now calculate the prime factors of 41196 and 41208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41196 and 41208.

How to find the GCF of 41196 and 41208?

We will first find the prime factorization of 41196 and 41208. After we will calculate the factors of 41196 and 41208 and find the biggest common factor number .

Step-1: Prime Factorization of 41196

Prime factors of 41196 are 2, 3, 3433. Prime factorization of 41196 in exponential form is:

41196 = 2² × 3¹ × 3433¹

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 41196

List of positive integer factors of 41196 that divides 41196 without a remainder.

1, 2, 3, 4, 6, 12, 3433, 6866, 10299, 13732, 20598

Step-4: Factors of 41208

List of positive integer factors of 41208 that divides 41196 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 41196 and 41208. The biggest common factor number is the GCF number.
So the greatest common factor 41196 and 41208 is 12.

Also check out the Least Common Multiple of 41196 and 41208