What is the Greatest Common Factor of 91569 and 91575?

Greatest common factor (GCF) of 91569 and 91575 is 3.

GCF(91569,91575) = 3

We will now calculate the prime factors of 91569 and 91575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91569 and 91575.

How to find the GCF of 91569 and 91575?

We will first find the prime factorization of 91569 and 91575. After we will calculate the factors of 91569 and 91575 and find the biggest common factor number .

Step-1: Prime Factorization of 91569

Prime factors of 91569 are 3, 131, 233. Prime factorization of 91569 in exponential form is:

91569 = 3¹ × 131¹ × 233¹

Step-2: Prime Factorization of 91575

Prime factors of 91575 are 3, 5, 11, 37. Prime factorization of 91575 in exponential form is:

91575 = 3² × 5² × 11¹ × 37¹

Step-3: Factors of 91569

List of positive integer factors of 91569 that divides 91569 without a remainder.

1, 3, 131, 233, 393, 699, 30523

Step-4: Factors of 91575

List of positive integer factors of 91575 that divides 91569 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 37, 45, 55, 75, 99, 111, 165, 185, 225, 275, 333, 407, 495, 555, 825, 925, 1221, 1665, 2035, 2475, 2775, 3663, 6105, 8325, 10175, 18315, 30525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91569 and 91575. The biggest common factor number is the GCF number.
So the greatest common factor 91569 and 91575 is 3.

Also check out the Least Common Multiple of 91569 and 91575