What is the Greatest Common Factor of 89065 and 89075?

Greatest common factor (GCF) of 89065 and 89075 is 5.

GCF(89065,89075) = 5

We will now calculate the prime factors of 89065 and 89075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89065 and 89075.

How to find the GCF of 89065 and 89075?

We will first find the prime factorization of 89065 and 89075. After we will calculate the factors of 89065 and 89075 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 89075

Prime factors of 89075 are 5, 7, 509. Prime factorization of 89075 in exponential form is:

89075 = 5² × 7¹ × 509¹

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 89075

List of positive integer factors of 89075 that divides 89065 without a remainder.

1, 5, 7, 25, 35, 175, 509, 2545, 3563, 12725, 17815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89065 and 89075. The biggest common factor number is the GCF number.
So the greatest common factor 89065 and 89075 is 5.

Also check out the Least Common Multiple of 89065 and 89075