What is the Greatest Common Factor of 41675 and 41690?

Greatest common factor (GCF) of 41675 and 41690 is 5.

GCF(41675,41690) = 5

We will now calculate the prime factors of 41675 and 41690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41675 and 41690.

How to find the GCF of 41675 and 41690?

We will first find the prime factorization of 41675 and 41690. After we will calculate the factors of 41675 and 41690 and find the biggest common factor number .

Step-1: Prime Factorization of 41675

Prime factors of 41675 are 5, 1667. Prime factorization of 41675 in exponential form is:

41675 = 5² × 1667¹

Step-2: 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-3: Factors of 41675

List of positive integer factors of 41675 that divides 41675 without a remainder.

1, 5, 25, 1667, 8335

Step-4: Factors of 41690

List of positive integer factors of 41690 that divides 41675 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41675 and 41690. The biggest common factor number is the GCF number.
So the greatest common factor 41675 and 41690 is 5.

Also check out the Least Common Multiple of 41675 and 41690