What is the Greatest Common Factor of 91130 and 91143?

Greatest common factor (GCF) of 91130 and 91143 is 13.

GCF(91130,91143) = 13

We will now calculate the prime factors of 91130 and 91143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91130 and 91143.

How to find the GCF of 91130 and 91143?

We will first find the prime factorization of 91130 and 91143. After we will calculate the factors of 91130 and 91143 and find the biggest common factor number .

Step-1: Prime Factorization of 91130

Prime factors of 91130 are 2, 5, 13, 701. Prime factorization of 91130 in exponential form is:

91130 = 2¹ × 5¹ × 13¹ × 701¹

Step-2: 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-3: Factors of 91130

List of positive integer factors of 91130 that divides 91130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 701, 1402, 3505, 7010, 9113, 18226, 45565

Step-4: Factors of 91143

List of positive integer factors of 91143 that divides 91130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91130 and 91143. The biggest common factor number is the GCF number.
So the greatest common factor 91130 and 91143 is 13.

Also check out the Least Common Multiple of 91130 and 91143