What is the Greatest Common Factor of 91143 and 91161?

Greatest common factor (GCF) of 91143 and 91161 is 9.

GCF(91143,91161) = 9

We will now calculate the prime factors of 91143 and 91161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91143 and 91161.

How to find the GCF of 91143 and 91161?

We will first find the prime factorization of 91143 and 91161. After we will calculate the factors of 91143 and 91161 and find the biggest common factor number .

Step-1: Prime Factorization of 91143

Prime factors of 91143 are 3, 13, 19, 41. Prime factorization of 91143 in exponential form is:

91143 = 3² × 13¹ × 19¹ × 41¹

Step-2: Prime Factorization of 91161

Prime factors of 91161 are 3, 7, 1447. Prime factorization of 91161 in exponential form is:

91161 = 3² × 7¹ × 1447¹

Step-3: Factors of 91143

List of positive integer factors of 91143 that divides 91143 without a remainder.

1, 3, 9, 13, 19, 39, 41, 57, 117, 123, 171, 247, 369, 533, 741, 779, 1599, 2223, 2337, 4797, 7011, 10127, 30381

Step-4: Factors of 91161

List of positive integer factors of 91161 that divides 91143 without a remainder.

1, 3, 7, 9, 21, 63, 1447, 4341, 10129, 13023, 30387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91143 and 91161. The biggest common factor number is the GCF number.
So the greatest common factor 91143 and 91161 is 9.

Also check out the Least Common Multiple of 91143 and 91161