What is the Greatest Common Factor of 41160 and 41176?

Greatest common factor (GCF) of 41160 and 41176 is 8.

GCF(41160,41176) = 8

We will now calculate the prime factors of 41160 and 41176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41160 and 41176.

How to find the GCF of 41160 and 41176?

We will first find the prime factorization of 41160 and 41176. After we will calculate the factors of 41160 and 41176 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 41176

Prime factors of 41176 are 2, 5147. Prime factorization of 41176 in exponential form is:

41176 = 2³ × 5147¹

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 41176

List of positive integer factors of 41176 that divides 41160 without a remainder.

1, 2, 4, 8, 5147, 10294, 20588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41160 and 41176. The biggest common factor number is the GCF number.
So the greatest common factor 41160 and 41176 is 8.

Also check out the Least Common Multiple of 41160 and 41176