What is the Greatest Common Factor of 41658 and 41675?

Greatest common factor (GCF) of 41658 and 41675 is 1.

GCF(41658,41675) = 1

We will now calculate the prime factors of 41658 and 41675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41658 and 41675.

How to find the GCF of 41658 and 41675?

We will first find the prime factorization of 41658 and 41675. After we will calculate the factors of 41658 and 41675 and find the biggest common factor number .

Step-1: Prime Factorization of 41658

Prime factors of 41658 are 2, 3, 53, 131. Prime factorization of 41658 in exponential form is:

41658 = 2¹ × 3¹ × 53¹ × 131¹

Step-2: Prime Factorization of 41675

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

41675 = 5² × 1667¹

Step-3: Factors of 41658

List of positive integer factors of 41658 that divides 41658 without a remainder.

1, 2, 3, 6, 53, 106, 131, 159, 262, 318, 393, 786, 6943, 13886, 20829

Step-4: Factors of 41675

List of positive integer factors of 41675 that divides 41658 without a remainder.

1, 5, 25, 1667, 8335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41658 and 41675. The biggest common factor number is the GCF number.
So the greatest common factor 41658 and 41675 is 1.

Also check out the Least Common Multiple of 41658 and 41675