What is the Greatest Common Factor of 70383 and 70389?

Greatest common factor (GCF) of 70383 and 70389 is 3.

GCF(70383,70389) = 3

We will now calculate the prime factors of 70383 and 70389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70383 and 70389.

How to find the GCF of 70383 and 70389?

We will first find the prime factorization of 70383 and 70389. After we will calculate the factors of 70383 and 70389 and find the biggest common factor number .

Step-1: Prime Factorization of 70383

Prime factors of 70383 are 3, 29, 809. Prime factorization of 70383 in exponential form is:

70383 = 3¹ × 29¹ × 809¹

Step-2: Prime Factorization of 70389

Prime factors of 70389 are 3, 11, 79. Prime factorization of 70389 in exponential form is:

70389 = 3⁴ × 11¹ × 79¹

Step-3: Factors of 70383

List of positive integer factors of 70383 that divides 70383 without a remainder.

1, 3, 29, 87, 809, 2427, 23461

Step-4: Factors of 70389

List of positive integer factors of 70389 that divides 70383 without a remainder.

1, 3, 9, 11, 27, 33, 79, 81, 99, 237, 297, 711, 869, 891, 2133, 2607, 6399, 7821, 23463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70383 and 70389. The biggest common factor number is the GCF number.
So the greatest common factor 70383 and 70389 is 3.

Also check out the Least Common Multiple of 70383 and 70389