What is the Greatest Common Factor of 73371 and 73389?

Greatest common factor (GCF) of 73371 and 73389 is 3.

GCF(73371,73389) = 3

We will now calculate the prime factors of 73371 and 73389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73371 and 73389.

How to find the GCF of 73371 and 73389?

We will first find the prime factorization of 73371 and 73389. After we will calculate the factors of 73371 and 73389 and find the biggest common factor number .

Step-1: Prime Factorization of 73371

Prime factors of 73371 are 3, 37, 661. Prime factorization of 73371 in exponential form is:

73371 = 3¹ × 37¹ × 661¹

Step-2: 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-3: Factors of 73371

List of positive integer factors of 73371 that divides 73371 without a remainder.

1, 3, 37, 111, 661, 1983, 24457

Step-4: Factors of 73389

List of positive integer factors of 73389 that divides 73371 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73371 and 73389. The biggest common factor number is the GCF number.
So the greatest common factor 73371 and 73389 is 3.

Also check out the Least Common Multiple of 73371 and 73389