What is the Greatest Common Factor of 41165 and 41170?

Greatest common factor (GCF) of 41165 and 41170 is 5.

GCF(41165,41170) = 5

We will now calculate the prime factors of 41165 and 41170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41165 and 41170.

How to find the GCF of 41165 and 41170?

We will first find the prime factorization of 41165 and 41170. After we will calculate the factors of 41165 and 41170 and find the biggest common factor number .

Step-1: Prime Factorization of 41165

Prime factors of 41165 are 5, 8233. Prime factorization of 41165 in exponential form is:

41165 = 5¹ × 8233¹

Step-2: Prime Factorization of 41170

Prime factors of 41170 are 2, 5, 23, 179. Prime factorization of 41170 in exponential form is:

41170 = 2¹ × 5¹ × 23¹ × 179¹

Step-3: Factors of 41165

List of positive integer factors of 41165 that divides 41165 without a remainder.

1, 5, 8233

Step-4: Factors of 41170

List of positive integer factors of 41170 that divides 41165 without a remainder.

1, 2, 5, 10, 23, 46, 115, 179, 230, 358, 895, 1790, 4117, 8234, 20585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41165 and 41170. The biggest common factor number is the GCF number.
So the greatest common factor 41165 and 41170 is 5.

Also check out the Least Common Multiple of 41165 and 41170