What is the Greatest Common Factor of 41160 and 41174?

Greatest common factor (GCF) of 41160 and 41174 is 14.

GCF(41160,41174) = 14

We will now calculate the prime factors of 41160 and 41174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41160 and 41174.

How to find the GCF of 41160 and 41174?

We will first find the prime factorization of 41160 and 41174. After we will calculate the factors of 41160 and 41174 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 41174

Prime factors of 41174 are 2, 7, 17, 173. Prime factorization of 41174 in exponential form is:

41174 = 2¹ × 7¹ × 17¹ × 173¹

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 41174

List of positive integer factors of 41174 that divides 41160 without a remainder.

1, 2, 7, 14, 17, 34, 119, 173, 238, 346, 1211, 2422, 2941, 5882, 20587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41160 and 41174. The biggest common factor number is the GCF number.
So the greatest common factor 41160 and 41174 is 14.

Also check out the Least Common Multiple of 41160 and 41174