What is the Greatest Common Factor of 69382 and 69389?

Greatest common factor (GCF) of 69382 and 69389 is 1.

GCF(69382,69389) = 1

We will now calculate the prime factors of 69382 and 69389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69382 and 69389.

How to find the GCF of 69382 and 69389?

We will first find the prime factorization of 69382 and 69389. After we will calculate the factors of 69382 and 69389 and find the biggest common factor number .

Step-1: Prime Factorization of 69382

Prime factors of 69382 are 2, 113, 307. Prime factorization of 69382 in exponential form is:

69382 = 2¹ × 113¹ × 307¹

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 69382

List of positive integer factors of 69382 that divides 69382 without a remainder.

1, 2, 113, 226, 307, 614, 34691

Step-4: Factors of 69389

List of positive integer factors of 69389 that divides 69382 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69382 and 69389. The biggest common factor number is the GCF number.
So the greatest common factor 69382 and 69389 is 1.

Also check out the Least Common Multiple of 69382 and 69389