What is the Greatest Common Factor of 89577 and 89583?

Greatest common factor (GCF) of 89577 and 89583 is 3.

GCF(89577,89583) = 3

We will now calculate the prime factors of 89577 and 89583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89577 and 89583.

How to find the GCF of 89577 and 89583?

We will first find the prime factorization of 89577 and 89583. After we will calculate the factors of 89577 and 89583 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89583

Prime factors of 89583 are 3, 13, 2297. Prime factorization of 89583 in exponential form is:

89583 = 3¹ × 13¹ × 2297¹

Step-3: Factors of 89577

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

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

Step-4: Factors of 89583

List of positive integer factors of 89583 that divides 89577 without a remainder.

1, 3, 13, 39, 2297, 6891, 29861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89577 and 89583. The biggest common factor number is the GCF number.
So the greatest common factor 89577 and 89583 is 3.

Also check out the Least Common Multiple of 89577 and 89583