What is the Greatest Common Factor of 41160 and 41171?

Greatest common factor (GCF) of 41160 and 41171 is 1.

GCF(41160,41171) = 1

We will now calculate the prime factors of 41160 and 41171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41160 and 41171.

How to find the GCF of 41160 and 41171?

We will first find the prime factorization of 41160 and 41171. After we will calculate the factors of 41160 and 41171 and find the biggest common factor number .

Step-1: Prime Factorization of 41160

Prime factors of 41160 are 2, 3, 5, 7. Prime factorization of 41160 in exponential form is:

41160 = 2³ × 3¹ × 5¹ × 7³

Step-2: Prime Factorization of 41171

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

41171 = 13¹ × 3167¹

Step-3: Factors of 41160

List of positive integer factors of 41160 that divides 41160 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 343, 392, 420, 490, 588, 686, 735, 840, 980, 1029, 1176, 1372, 1470, 1715, 1960, 2058, 2744, 2940, 3430, 4116, 5145, 5880, 6860, 8232, 10290, 13720, 20580

Step-4: Factors of 41171

List of positive integer factors of 41171 that divides 41160 without a remainder.

1, 13, 3167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41160 and 41171. The biggest common factor number is the GCF number.
So the greatest common factor 41160 and 41171 is 1.

Also check out the Least Common Multiple of 41160 and 41171