What is the Greatest Common Factor of 89271 and 89285?

Greatest common factor (GCF) of 89271 and 89285 is 7.

GCF(89271,89285) = 7

We will now calculate the prime factors of 89271 and 89285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89271 and 89285.

How to find the GCF of 89271 and 89285?

We will first find the prime factorization of 89271 and 89285. After we will calculate the factors of 89271 and 89285 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89285

Prime factors of 89285 are 5, 7, 2551. Prime factorization of 89285 in exponential form is:

89285 = 5¹ × 7¹ × 2551¹

Step-3: Factors of 89271

List of positive integer factors of 89271 that divides 89271 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

Step-4: Factors of 89285

List of positive integer factors of 89285 that divides 89271 without a remainder.

1, 5, 7, 35, 2551, 12755, 17857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89271 and 89285. The biggest common factor number is the GCF number.
So the greatest common factor 89271 and 89285 is 7.

Also check out the Least Common Multiple of 89271 and 89285