What is the Greatest Common Factor of 89571 and 89577?

Greatest common factor (GCF) of 89571 and 89577 is 3.

GCF(89571,89577) = 3

We will now calculate the prime factors of 89571 and 89577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89571 and 89577.

How to find the GCF of 89571 and 89577?

We will first find the prime factorization of 89571 and 89577. After we will calculate the factors of 89571 and 89577 and find the biggest common factor number .

Step-1: Prime Factorization of 89571

Prime factors of 89571 are 3, 73, 409. Prime factorization of 89571 in exponential form is:

89571 = 3¹ × 73¹ × 409¹

Step-2: Prime Factorization of 89577

Prime factors of 89577 are 3, 37, 269. Prime factorization of 89577 in exponential form is:

89577 = 3² × 37¹ × 269¹

Step-3: Factors of 89571

List of positive integer factors of 89571 that divides 89571 without a remainder.

1, 3, 73, 219, 409, 1227, 29857

Step-4: Factors of 89577

List of positive integer factors of 89577 that divides 89571 without a remainder.

1, 3, 9, 37, 111, 269, 333, 807, 2421, 9953, 29859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89571 and 89577. The biggest common factor number is the GCF number.
So the greatest common factor 89571 and 89577 is 3.

Also check out the Least Common Multiple of 89571 and 89577