What is the Greatest Common Factor of 41680 and 41690?

Greatest common factor (GCF) of 41680 and 41690 is 10.

GCF(41680,41690) = 10

We will now calculate the prime factors of 41680 and 41690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41680 and 41690.

How to find the GCF of 41680 and 41690?

We will first find the prime factorization of 41680 and 41690. After we will calculate the factors of 41680 and 41690 and find the biggest common factor number .

Step-1: Prime Factorization of 41680

Prime factors of 41680 are 2, 5, 521. Prime factorization of 41680 in exponential form is:

41680 = 2⁴ × 5¹ × 521¹

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 41680

List of positive integer factors of 41680 that divides 41680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 521, 1042, 2084, 2605, 4168, 5210, 8336, 10420, 20840

Step-4: Factors of 41690

List of positive integer factors of 41690 that divides 41680 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 41680 and 41690. The biggest common factor number is the GCF number.
So the greatest common factor 41680 and 41690 is 10.

Also check out the Least Common Multiple of 41680 and 41690