What is the Greatest Common Factor of 91080 and 91098?

Greatest common factor (GCF) of 91080 and 91098 is 18.

GCF(91080,91098) = 18

We will now calculate the prime factors of 91080 and 91098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91080 and 91098.

How to find the GCF of 91080 and 91098?

We will first find the prime factorization of 91080 and 91098. After we will calculate the factors of 91080 and 91098 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 91098

Prime factors of 91098 are 2, 3, 7, 241. Prime factorization of 91098 in exponential form is:

91098 = 2¹ × 3³ × 7¹ × 241¹

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 91098

List of positive integer factors of 91098 that divides 91080 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 241, 378, 482, 723, 1446, 1687, 2169, 3374, 4338, 5061, 6507, 10122, 13014, 15183, 30366, 45549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91080 and 91098. The biggest common factor number is the GCF number.
So the greatest common factor 91080 and 91098 is 18.

Also check out the Least Common Multiple of 91080 and 91098