What is the Greatest Common Factor of 73389 and 73395?

Greatest common factor (GCF) of 73389 and 73395 is 3.

GCF(73389,73395) = 3

We will now calculate the prime factors of 73389 and 73395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73389 and 73395.

How to find the GCF of 73389 and 73395?

We will first find the prime factorization of 73389 and 73395. After we will calculate the factors of 73389 and 73395 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 73395

Prime factors of 73395 are 3, 5, 7, 233. Prime factorization of 73395 in exponential form is:

73395 = 3² × 5¹ × 7¹ × 233¹

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 73395

List of positive integer factors of 73395 that divides 73389 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 233, 315, 699, 1165, 1631, 2097, 3495, 4893, 8155, 10485, 14679, 24465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73389 and 73395. The biggest common factor number is the GCF number.
So the greatest common factor 73389 and 73395 is 3.

Also check out the Least Common Multiple of 73389 and 73395