What is the Greatest Common Factor of 91075 and 91080?

Greatest common factor (GCF) of 91075 and 91080 is 5.

GCF(91075,91080) = 5

We will now calculate the prime factors of 91075 and 91080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91075 and 91080.

How to find the GCF of 91075 and 91080?

We will first find the prime factorization of 91075 and 91080. After we will calculate the factors of 91075 and 91080 and find the biggest common factor number .

Step-1: Prime Factorization of 91075

Prime factors of 91075 are 5, 3643. Prime factorization of 91075 in exponential form is:

91075 = 5² × 3643¹

Step-2: 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-3: Factors of 91075

List of positive integer factors of 91075 that divides 91075 without a remainder.

1, 5, 25, 3643, 18215

Step-4: Factors of 91080

List of positive integer factors of 91080 that divides 91075 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91075 and 91080. The biggest common factor number is the GCF number.
So the greatest common factor 91075 and 91080 is 5.

Also check out the Least Common Multiple of 91075 and 91080