What is the Greatest Common Factor of 41790 and 41805?

Greatest common factor (GCF) of 41790 and 41805 is 15.

GCF(41790,41805) = 15

We will now calculate the prime factors of 41790 and 41805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41790 and 41805.

How to find the GCF of 41790 and 41805?

We will first find the prime factorization of 41790 and 41805. After we will calculate the factors of 41790 and 41805 and find the biggest common factor number .

Step-1: Prime Factorization of 41790

Prime factors of 41790 are 2, 3, 5, 7, 199. Prime factorization of 41790 in exponential form is:

41790 = 2¹ × 3¹ × 5¹ × 7¹ × 199¹

Step-2: Prime Factorization of 41805

Prime factors of 41805 are 3, 5, 929. Prime factorization of 41805 in exponential form is:

41805 = 3² × 5¹ × 929¹

Step-3: Factors of 41790

List of positive integer factors of 41790 that divides 41790 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 199, 210, 398, 597, 995, 1194, 1393, 1990, 2786, 2985, 4179, 5970, 6965, 8358, 13930, 20895

Step-4: Factors of 41805

List of positive integer factors of 41805 that divides 41790 without a remainder.

1, 3, 5, 9, 15, 45, 929, 2787, 4645, 8361, 13935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41790 and 41805. The biggest common factor number is the GCF number.
So the greatest common factor 41790 and 41805 is 15.

Also check out the Least Common Multiple of 41790 and 41805