What is the Greatest Common Factor of 70389 and 70404?

Greatest common factor (GCF) of 70389 and 70404 is 3.

GCF(70389,70404) = 3

We will now calculate the prime factors of 70389 and 70404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70389 and 70404.

How to find the GCF of 70389 and 70404?

We will first find the prime factorization of 70389 and 70404. After we will calculate the factors of 70389 and 70404 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 70404

Prime factors of 70404 are 2, 3, 5867. Prime factorization of 70404 in exponential form is:

70404 = 2² × 3¹ × 5867¹

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 70404

List of positive integer factors of 70404 that divides 70389 without a remainder.

1, 2, 3, 4, 6, 12, 5867, 11734, 17601, 23468, 35202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70389 and 70404. The biggest common factor number is the GCF number.
So the greatest common factor 70389 and 70404 is 3.

Also check out the Least Common Multiple of 70389 and 70404