What is the Greatest Common Factor of 41160 and 41169?

Greatest common factor (GCF) of 41160 and 41169 is 3.

GCF(41160,41169) = 3

We will now calculate the prime factors of 41160 and 41169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41160 and 41169.

How to find the GCF of 41160 and 41169?

We will first find the prime factorization of 41160 and 41169. After we will calculate the factors of 41160 and 41169 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 41169

Prime factors of 41169 are 3, 13723. Prime factorization of 41169 in exponential form is:

41169 = 3¹ × 13723¹

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 41169

List of positive integer factors of 41169 that divides 41160 without a remainder.

1, 3, 13723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41160 and 41169. The biggest common factor number is the GCF number.
So the greatest common factor 41160 and 41169 is 3.

Also check out the Least Common Multiple of 41160 and 41169