What is the Greatest Common Factor of 41680 and 41685?

Greatest common factor (GCF) of 41680 and 41685 is 5.

GCF(41680,41685) = 5

We will now calculate the prime factors of 41680 and 41685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41680 and 41685.

How to find the GCF of 41680 and 41685?

We will first find the prime factorization of 41680 and 41685. After we will calculate the factors of 41680 and 41685 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 41685

Prime factors of 41685 are 3, 5, 7, 397. Prime factorization of 41685 in exponential form is:

41685 = 3¹ × 5¹ × 7¹ × 397¹

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 41685

List of positive integer factors of 41685 that divides 41680 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 397, 1191, 1985, 2779, 5955, 8337, 13895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41680 and 41685. The biggest common factor number is the GCF number.
So the greatest common factor 41680 and 41685 is 5.

Also check out the Least Common Multiple of 41680 and 41685