What is the Greatest Common Factor of 89259 and 89271?

Greatest common factor (GCF) of 89259 and 89271 is 3.

GCF(89259,89271) = 3

We will now calculate the prime factors of 89259 and 89271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89259 and 89271.

How to find the GCF of 89259 and 89271?

We will first find the prime factorization of 89259 and 89271. After we will calculate the factors of 89259 and 89271 and find the biggest common factor number .

Step-1: Prime Factorization of 89259

Prime factors of 89259 are 3, 29753. Prime factorization of 89259 in exponential form is:

89259 = 3¹ × 29753¹

Step-2: Prime Factorization of 89271

Prime factors of 89271 are 3, 7, 13, 109. Prime factorization of 89271 in exponential form is:

89271 = 3² × 7¹ × 13¹ × 109¹

Step-3: Factors of 89259

List of positive integer factors of 89259 that divides 89259 without a remainder.

1, 3, 29753

Step-4: Factors of 89271

List of positive integer factors of 89271 that divides 89259 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 109, 117, 273, 327, 763, 819, 981, 1417, 2289, 4251, 6867, 9919, 12753, 29757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89259 and 89271. The biggest common factor number is the GCF number.
So the greatest common factor 89259 and 89271 is 3.

Also check out the Least Common Multiple of 89259 and 89271