What is the Greatest Common Factor of 70389 and 70396?

Greatest common factor (GCF) of 70389 and 70396 is 1.

GCF(70389,70396) = 1

We will now calculate the prime factors of 70389 and 70396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70389 and 70396.

How to find the GCF of 70389 and 70396?

We will first find the prime factorization of 70389 and 70396. After we will calculate the factors of 70389 and 70396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70396

Prime factors of 70396 are 2, 17599. Prime factorization of 70396 in exponential form is:

70396 = 2² × 17599¹

Step-3: Factors of 70389

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

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

Step-4: Factors of 70396

List of positive integer factors of 70396 that divides 70389 without a remainder.

1, 2, 4, 17599, 35198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70389 and 70396. The biggest common factor number is the GCF number.
So the greatest common factor 70389 and 70396 is 1.

Also check out the Least Common Multiple of 70389 and 70396