What is the Greatest Common Factor of 41188 and 41195?

Greatest common factor (GCF) of 41188 and 41195 is 7.

GCF(41188,41195) = 7

We will now calculate the prime factors of 41188 and 41195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41188 and 41195.

How to find the GCF of 41188 and 41195?

We will first find the prime factorization of 41188 and 41195. After we will calculate the factors of 41188 and 41195 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 41195

Prime factors of 41195 are 5, 7, 11, 107. Prime factorization of 41195 in exponential form is:

41195 = 5¹ × 7¹ × 11¹ × 107¹

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 41195

List of positive integer factors of 41195 that divides 41188 without a remainder.

1, 5, 7, 11, 35, 55, 77, 107, 385, 535, 749, 1177, 3745, 5885, 8239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41188 and 41195. The biggest common factor number is the GCF number.
So the greatest common factor 41188 and 41195 is 7.

Also check out the Least Common Multiple of 41188 and 41195