What is the Greatest Common Factor of 41160 and 41170?

Greatest common factor (GCF) of 41160 and 41170 is 10.

GCF(41160,41170) = 10

We will now calculate the prime factors of 41160 and 41170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41160 and 41170.

How to find the GCF of 41160 and 41170?

We will first find the prime factorization of 41160 and 41170. After we will calculate the factors of 41160 and 41170 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 41170

Prime factors of 41170 are 2, 5, 23, 179. Prime factorization of 41170 in exponential form is:

41170 = 2¹ × 5¹ × 23¹ × 179¹

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 41170

List of positive integer factors of 41170 that divides 41160 without a remainder.

1, 2, 5, 10, 23, 46, 115, 179, 230, 358, 895, 1790, 4117, 8234, 20585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41160 and 41170. The biggest common factor number is the GCF number.
So the greatest common factor 41160 and 41170 is 10.

Also check out the Least Common Multiple of 41160 and 41170