What is the Greatest Common Factor of 89375 and 89389?

Greatest common factor (GCF) of 89375 and 89389 is 1.

GCF(89375,89389) = 1

We will now calculate the prime factors of 89375 and 89389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89375 and 89389.

How to find the GCF of 89375 and 89389?

We will first find the prime factorization of 89375 and 89389. After we will calculate the factors of 89375 and 89389 and find the biggest common factor number .

Step-1: Prime Factorization of 89375

Prime factors of 89375 are 5, 11, 13. Prime factorization of 89375 in exponential form is:

89375 = 5⁴ × 11¹ × 13¹

Step-2: Prime Factorization of 89389

Prime factors of 89389 are 71, 1259. Prime factorization of 89389 in exponential form is:

89389 = 71¹ × 1259¹

Step-3: Factors of 89375

List of positive integer factors of 89375 that divides 89375 without a remainder.

1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 625, 715, 1375, 1625, 3575, 6875, 8125, 17875

Step-4: Factors of 89389

List of positive integer factors of 89389 that divides 89375 without a remainder.

1, 71, 1259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89375 and 89389. The biggest common factor number is the GCF number.
So the greatest common factor 89375 and 89389 is 1.

Also check out the Least Common Multiple of 89375 and 89389