What is the Greatest Common Factor of 73365 and 73371?

Greatest common factor (GCF) of 73365 and 73371 is 3.

GCF(73365,73371) = 3

We will now calculate the prime factors of 73365 and 73371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73365 and 73371.

How to find the GCF of 73365 and 73371?

We will first find the prime factorization of 73365 and 73371. After we will calculate the factors of 73365 and 73371 and find the biggest common factor number .

Step-1: Prime Factorization of 73365

Prime factors of 73365 are 3, 5, 67, 73. Prime factorization of 73365 in exponential form is:

73365 = 3¹ × 5¹ × 67¹ × 73¹

Step-2: 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-3: Factors of 73365

List of positive integer factors of 73365 that divides 73365 without a remainder.

1, 3, 5, 15, 67, 73, 201, 219, 335, 365, 1005, 1095, 4891, 14673, 24455

Step-4: Factors of 73371

List of positive integer factors of 73371 that divides 73365 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73365 and 73371. The biggest common factor number is the GCF number.
So the greatest common factor 73365 and 73371 is 3.

Also check out the Least Common Multiple of 73365 and 73371