What is the Greatest Common Factor of 9135 and 9143?

Greatest common factor (GCF) of 9135 and 9143 is 1.

GCF(9135,9143) = 1

We will now calculate the prime factors of 9135 and 9143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9135 and 9143.

How to find the GCF of 9135 and 9143?

We will first find the prime factorization of 9135 and 9143. After we will calculate the factors of 9135 and 9143 and find the biggest common factor number .

Step-1: Prime Factorization of 9135

Prime factors of 9135 are 3, 5, 7, 29. Prime factorization of 9135 in exponential form is:

9135 = 3² × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 9143

Prime factors of 9143 are 41, 223. Prime factorization of 9143 in exponential form is:

9143 = 41¹ × 223¹

Step-3: Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045

Step-4: Factors of 9143

List of positive integer factors of 9143 that divides 9135 without a remainder.

1, 41, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9135 and 9143. The biggest common factor number is the GCF number.
So the greatest common factor 9135 and 9143 is 1.

Also check out the Least Common Multiple of 9135 and 9143