What is the Greatest Common Factor of 69375 and 69389?

Greatest common factor (GCF) of 69375 and 69389 is 1.

GCF(69375,69389) = 1

We will now calculate the prime factors of 69375 and 69389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69375 and 69389.

How to find the GCF of 69375 and 69389?

We will first find the prime factorization of 69375 and 69389. After we will calculate the factors of 69375 and 69389 and find the biggest common factor number .

Step-1: Prime Factorization of 69375

Prime factors of 69375 are 3, 5, 37. Prime factorization of 69375 in exponential form is:

69375 = 3¹ × 5⁴ × 37¹

Step-2: Prime Factorization of 69389

Prime factors of 69389 are 69389. Prime factorization of 69389 in exponential form is:

69389 = 69389¹

Step-3: Factors of 69375

List of positive integer factors of 69375 that divides 69375 without a remainder.

1, 3, 5, 15, 25, 37, 75, 111, 125, 185, 375, 555, 625, 925, 1875, 2775, 4625, 13875, 23125

Step-4: Factors of 69389

List of positive integer factors of 69389 that divides 69375 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69375 and 69389. The biggest common factor number is the GCF number.
So the greatest common factor 69375 and 69389 is 1.

Also check out the Least Common Multiple of 69375 and 69389