What is the Greatest Common Factor of 41175 and 41180?

Greatest common factor (GCF) of 41175 and 41180 is 5.

GCF(41175,41180) = 5

We will now calculate the prime factors of 41175 and 41180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41175 and 41180.

How to find the GCF of 41175 and 41180?

We will first find the prime factorization of 41175 and 41180. After we will calculate the factors of 41175 and 41180 and find the biggest common factor number .

Step-1: Prime Factorization of 41175

Prime factors of 41175 are 3, 5, 61. Prime factorization of 41175 in exponential form is:

41175 = 3³ × 5² × 61¹

Step-2: Prime Factorization of 41180

Prime factors of 41180 are 2, 5, 29, 71. Prime factorization of 41180 in exponential form is:

41180 = 2² × 5¹ × 29¹ × 71¹

Step-3: Factors of 41175

List of positive integer factors of 41175 that divides 41175 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 61, 75, 135, 183, 225, 305, 549, 675, 915, 1525, 1647, 2745, 4575, 8235, 13725

Step-4: Factors of 41180

List of positive integer factors of 41180 that divides 41175 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 71, 116, 142, 145, 284, 290, 355, 580, 710, 1420, 2059, 4118, 8236, 10295, 20590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41175 and 41180. The biggest common factor number is the GCF number.
So the greatest common factor 41175 and 41180 is 5.

Also check out the Least Common Multiple of 41175 and 41180