What is the Greatest Common Factor of 41171 and 41175?

Greatest common factor (GCF) of 41171 and 41175 is 1.

GCF(41171,41175) = 1

We will now calculate the prime factors of 41171 and 41175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41171 and 41175.

How to find the GCF of 41171 and 41175?

We will first find the prime factorization of 41171 and 41175. After we will calculate the factors of 41171 and 41175 and find the biggest common factor number .

Step-1: Prime Factorization of 41171

Prime factors of 41171 are 13, 3167. Prime factorization of 41171 in exponential form is:

41171 = 13¹ × 3167¹

Step-2: Prime Factorization of 41175

Prime factors of 41175 are 3, 5, 61. Prime factorization of 41175 in exponential form is:

41175 = 3³ × 5² × 61¹

Step-3: Factors of 41171

List of positive integer factors of 41171 that divides 41171 without a remainder.

1, 13, 3167

Step-4: Factors of 41175

List of positive integer factors of 41175 that divides 41171 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 61, 75, 135, 183, 225, 305, 549, 675, 915, 1525, 1647, 2745, 4575, 8235, 13725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41171 and 41175. The biggest common factor number is the GCF number.
So the greatest common factor 41171 and 41175 is 1.

Also check out the Least Common Multiple of 41171 and 41175