What is the Greatest Common Factor of 41160 and 41167?

Greatest common factor (GCF) of 41160 and 41167 is 7.

GCF(41160,41167) = 7

We will now calculate the prime factors of 41160 and 41167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41160 and 41167.

How to find the GCF of 41160 and 41167?

We will first find the prime factorization of 41160 and 41167. After we will calculate the factors of 41160 and 41167 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 41167

Prime factors of 41167 are 7, 5881. Prime factorization of 41167 in exponential form is:

41167 = 7¹ × 5881¹

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 41167

List of positive integer factors of 41167 that divides 41160 without a remainder.

1, 7, 5881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41160 and 41167. The biggest common factor number is the GCF number.
So the greatest common factor 41160 and 41167 is 7.

Also check out the Least Common Multiple of 41160 and 41167