What is the Greatest Common Factor of 41175 and 41193?

Greatest common factor (GCF) of 41175 and 41193 is 9.

GCF(41175,41193) = 9

We will now calculate the prime factors of 41175 and 41193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41175 and 41193.

How to find the GCF of 41175 and 41193?

We will first find the prime factorization of 41175 and 41193. After we will calculate the factors of 41175 and 41193 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 41193

Prime factors of 41193 are 3, 23, 199. Prime factorization of 41193 in exponential form is:

41193 = 3² × 23¹ × 199¹

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 41193

List of positive integer factors of 41193 that divides 41175 without a remainder.

1, 3, 9, 23, 69, 199, 207, 597, 1791, 4577, 13731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41175 and 41193. The biggest common factor number is the GCF number.
So the greatest common factor 41175 and 41193 is 9.

Also check out the Least Common Multiple of 41175 and 41193