What is the Greatest Common Factor of 73389 and 73404?

Greatest common factor (GCF) of 73389 and 73404 is 3.

GCF(73389,73404) = 3

We will now calculate the prime factors of 73389 and 73404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73389 and 73404.

How to find the GCF of 73389 and 73404?

We will first find the prime factorization of 73389 and 73404. After we will calculate the factors of 73389 and 73404 and find the biggest common factor number .

Step-1: Prime Factorization of 73389

Prime factors of 73389 are 3, 17, 1439. Prime factorization of 73389 in exponential form is:

73389 = 3¹ × 17¹ × 1439¹

Step-2: Prime Factorization of 73404

Prime factors of 73404 are 2, 3, 2039. Prime factorization of 73404 in exponential form is:

73404 = 2² × 3² × 2039¹

Step-3: Factors of 73389

List of positive integer factors of 73389 that divides 73389 without a remainder.

1, 3, 17, 51, 1439, 4317, 24463

Step-4: Factors of 73404

List of positive integer factors of 73404 that divides 73389 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2039, 4078, 6117, 8156, 12234, 18351, 24468, 36702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73389 and 73404. The biggest common factor number is the GCF number.
So the greatest common factor 73389 and 73404 is 3.

Also check out the Least Common Multiple of 73389 and 73404