What is the Greatest Common Factor of 41160 and 41168?

Greatest common factor (GCF) of 41160 and 41168 is 8.

GCF(41160,41168) = 8

We will now calculate the prime factors of 41160 and 41168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41160 and 41168.

How to find the GCF of 41160 and 41168?

We will first find the prime factorization of 41160 and 41168. After we will calculate the factors of 41160 and 41168 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 41168

Prime factors of 41168 are 2, 31, 83. Prime factorization of 41168 in exponential form is:

41168 = 2⁴ × 31¹ × 83¹

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 41168

List of positive integer factors of 41168 that divides 41160 without a remainder.

1, 2, 4, 8, 16, 31, 62, 83, 124, 166, 248, 332, 496, 664, 1328, 2573, 5146, 10292, 20584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41160 and 41168. The biggest common factor number is the GCF number.
So the greatest common factor 41160 and 41168 is 8.

Also check out the Least Common Multiple of 41160 and 41168