What is the Greatest Common Factor of 73359 and 73365?

Greatest common factor (GCF) of 73359 and 73365 is 3.

GCF(73359,73365) = 3

We will now calculate the prime factors of 73359 and 73365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73359 and 73365.

How to find the GCF of 73359 and 73365?

We will first find the prime factorization of 73359 and 73365. After we will calculate the factors of 73359 and 73365 and find the biggest common factor number .

Step-1: Prime Factorization of 73359

Prime factors of 73359 are 3, 11, 13, 19. Prime factorization of 73359 in exponential form is:

73359 = 3³ × 11¹ × 13¹ × 19¹

Step-2: 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-3: Factors of 73359

List of positive integer factors of 73359 that divides 73359 without a remainder.

1, 3, 9, 11, 13, 19, 27, 33, 39, 57, 99, 117, 143, 171, 209, 247, 297, 351, 429, 513, 627, 741, 1287, 1881, 2223, 2717, 3861, 5643, 6669, 8151, 24453

Step-4: Factors of 73365

List of positive integer factors of 73365 that divides 73359 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73359 and 73365. The biggest common factor number is the GCF number.
So the greatest common factor 73359 and 73365 is 3.

Also check out the Least Common Multiple of 73359 and 73365