What is the Greatest Common Factor of 41145 and 41160?

Greatest common factor (GCF) of 41145 and 41160 is 15.

GCF(41145,41160) = 15

We will now calculate the prime factors of 41145 and 41160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41145 and 41160.

How to find the GCF of 41145 and 41160?

We will first find the prime factorization of 41145 and 41160. After we will calculate the factors of 41145 and 41160 and find the biggest common factor number .

Step-1: Prime Factorization of 41145

Prime factors of 41145 are 3, 5, 13, 211. Prime factorization of 41145 in exponential form is:

41145 = 3¹ × 5¹ × 13¹ × 211¹

Step-2: 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-3: Factors of 41145

List of positive integer factors of 41145 that divides 41145 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 211, 633, 1055, 2743, 3165, 8229, 13715

Step-4: Factors of 41160

List of positive integer factors of 41160 that divides 41145 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41145 and 41160. The biggest common factor number is the GCF number.
So the greatest common factor 41145 and 41160 is 15.

Also check out the Least Common Multiple of 41145 and 41160