What is the Greatest Common Factor of 91080 and 91091?

Greatest common factor (GCF) of 91080 and 91091 is 11.

GCF(91080,91091) = 11

We will now calculate the prime factors of 91080 and 91091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91080 and 91091.

How to find the GCF of 91080 and 91091?

We will first find the prime factorization of 91080 and 91091. After we will calculate the factors of 91080 and 91091 and find the biggest common factor number .

Step-1: Prime Factorization of 91080

Prime factors of 91080 are 2, 3, 5, 11, 23. Prime factorization of 91080 in exponential form is:

91080 = 2³ × 3² × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 91091

Prime factors of 91091 are 7, 11, 13. Prime factorization of 91091 in exponential form is:

91091 = 7² × 11¹ × 13²

Step-3: Factors of 91080

List of positive integer factors of 91080 that divides 91080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 23, 24, 30, 33, 36, 40, 44, 45, 46, 55, 60, 66, 69, 72, 88, 90, 92, 99, 110, 115, 120, 132, 138, 165, 180, 184, 198, 207, 220, 230, 253, 264, 276, 330, 345, 360, 396, 414, 440, 460, 495, 506, 552, 660, 690, 759, 792, 828, 920, 990, 1012, 1035, 1265, 1320, 1380, 1518, 1656, 1980, 2024, 2070, 2277, 2530, 2760, 3036, 3795, 3960, 4140, 4554, 5060, 6072, 7590, 8280, 9108, 10120, 11385, 15180, 18216, 22770, 30360, 45540

Step-4: Factors of 91091

List of positive integer factors of 91091 that divides 91080 without a remainder.

1, 7, 11, 13, 49, 77, 91, 143, 169, 539, 637, 1001, 1183, 1859, 7007, 8281, 13013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91080 and 91091. The biggest common factor number is the GCF number.
So the greatest common factor 91080 and 91091 is 11.

Also check out the Least Common Multiple of 91080 and 91091