What is the Greatest Common Factor of 89565 and 89577?

Greatest common factor (GCF) of 89565 and 89577 is 3.

GCF(89565,89577) = 3

We will now calculate the prime factors of 89565 and 89577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89565 and 89577.

How to find the GCF of 89565 and 89577?

We will first find the prime factorization of 89565 and 89577. After we will calculate the factors of 89565 and 89577 and find the biggest common factor number .

Step-1: Prime Factorization of 89565

Prime factors of 89565 are 3, 5, 7, 853. Prime factorization of 89565 in exponential form is:

89565 = 3¹ × 5¹ × 7¹ × 853¹

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 89565

List of positive integer factors of 89565 that divides 89565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 853, 2559, 4265, 5971, 12795, 17913, 29855

Step-4: Factors of 89577

List of positive integer factors of 89577 that divides 89565 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 89565 and 89577. The biggest common factor number is the GCF number.
So the greatest common factor 89565 and 89577 is 3.

Also check out the Least Common Multiple of 89565 and 89577