What is the Greatest Common Factor of 91143 and 91162?

Greatest common factor (GCF) of 91143 and 91162 is 19.

GCF(91143,91162) = 19

We will now calculate the prime factors of 91143 and 91162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91143 and 91162.

How to find the GCF of 91143 and 91162?

We will first find the prime factorization of 91143 and 91162. After we will calculate the factors of 91143 and 91162 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 91162

Prime factors of 91162 are 2, 19, 2399. Prime factorization of 91162 in exponential form is:

91162 = 2¹ × 19¹ × 2399¹

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 91162

List of positive integer factors of 91162 that divides 91143 without a remainder.

1, 2, 19, 38, 2399, 4798, 45581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91143 and 91162. The biggest common factor number is the GCF number.
So the greatest common factor 91143 and 91162 is 19.

Also check out the Least Common Multiple of 91143 and 91162