What is the Greatest Common Factor of 41690 and 41695?

Greatest common factor (GCF) of 41690 and 41695 is 5.

GCF(41690,41695) = 5

We will now calculate the prime factors of 41690 and 41695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41690 and 41695.

How to find the GCF of 41690 and 41695?

We will first find the prime factorization of 41690 and 41695. After we will calculate the factors of 41690 and 41695 and find the biggest common factor number .

Step-1: Prime Factorization of 41690

Prime factors of 41690 are 2, 5, 11, 379. Prime factorization of 41690 in exponential form is:

41690 = 2¹ × 5¹ × 11¹ × 379¹

Step-2: Prime Factorization of 41695

Prime factors of 41695 are 5, 31, 269. Prime factorization of 41695 in exponential form is:

41695 = 5¹ × 31¹ × 269¹

Step-3: Factors of 41690

List of positive integer factors of 41690 that divides 41690 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 379, 758, 1895, 3790, 4169, 8338, 20845

Step-4: Factors of 41695

List of positive integer factors of 41695 that divides 41690 without a remainder.

1, 5, 31, 155, 269, 1345, 8339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41690 and 41695. The biggest common factor number is the GCF number.
So the greatest common factor 41690 and 41695 is 5.

Also check out the Least Common Multiple of 41690 and 41695