What is the Greatest Common Factor of 41188 and 41196?

Greatest common factor (GCF) of 41188 and 41196 is 4.

GCF(41188,41196) = 4

We will now calculate the prime factors of 41188 and 41196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41188 and 41196.

How to find the GCF of 41188 and 41196?

We will first find the prime factorization of 41188 and 41196. After we will calculate the factors of 41188 and 41196 and find the biggest common factor number .

Step-1: Prime Factorization of 41188

Prime factors of 41188 are 2, 7, 1471. Prime factorization of 41188 in exponential form is:

41188 = 2² × 7¹ × 1471¹

Step-2: 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-3: Factors of 41188

List of positive integer factors of 41188 that divides 41188 without a remainder.

1, 2, 4, 7, 14, 28, 1471, 2942, 5884, 10297, 20594

Step-4: Factors of 41196

List of positive integer factors of 41196 that divides 41188 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41188 and 41196. The biggest common factor number is the GCF number.
So the greatest common factor 41188 and 41196 is 4.

Also check out the Least Common Multiple of 41188 and 41196