What is the Greatest Common Factor of 73389 and 73397?

Greatest common factor (GCF) of 73389 and 73397 is 1.

GCF(73389,73397) = 1

We will now calculate the prime factors of 73389 and 73397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73389 and 73397.

How to find the GCF of 73389 and 73397?

We will first find the prime factorization of 73389 and 73397. After we will calculate the factors of 73389 and 73397 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 73397

Prime factors of 73397 are 19, 3863. Prime factorization of 73397 in exponential form is:

73397 = 19¹ × 3863¹

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 73397

List of positive integer factors of 73397 that divides 73389 without a remainder.

1, 19, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73389 and 73397. The biggest common factor number is the GCF number.
So the greatest common factor 73389 and 73397 is 1.

Also check out the Least Common Multiple of 73389 and 73397