What is the Greatest Common Factor of 89065 and 89077?

Greatest common factor (GCF) of 89065 and 89077 is 1.

GCF(89065,89077) = 1

We will now calculate the prime factors of 89065 and 89077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89065 and 89077.

How to find the GCF of 89065 and 89077?

We will first find the prime factorization of 89065 and 89077. After we will calculate the factors of 89065 and 89077 and find the biggest common factor number .

Step-1: Prime Factorization of 89065

Prime factors of 89065 are 5, 47, 379. Prime factorization of 89065 in exponential form is:

89065 = 5¹ × 47¹ × 379¹

Step-2: Prime Factorization of 89077

Prime factors of 89077 are 281, 317. Prime factorization of 89077 in exponential form is:

89077 = 281¹ × 317¹

Step-3: Factors of 89065

List of positive integer factors of 89065 that divides 89065 without a remainder.

1, 5, 47, 235, 379, 1895, 17813

Step-4: Factors of 89077

List of positive integer factors of 89077 that divides 89065 without a remainder.

1, 281, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89065 and 89077. The biggest common factor number is the GCF number.
So the greatest common factor 89065 and 89077 is 1.

Also check out the Least Common Multiple of 89065 and 89077