What is the Greatest Common Factor of 73344 and 73359?

Greatest common factor (GCF) of 73344 and 73359 is 3.

GCF(73344,73359) = 3

We will now calculate the prime factors of 73344 and 73359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73344 and 73359.

How to find the GCF of 73344 and 73359?

We will first find the prime factorization of 73344 and 73359. After we will calculate the factors of 73344 and 73359 and find the biggest common factor number .

Step-1: Prime Factorization of 73344

Prime factors of 73344 are 2, 3, 191. Prime factorization of 73344 in exponential form is:

73344 = 2⁷ × 3¹ × 191¹

Step-2: 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-3: Factors of 73344

List of positive integer factors of 73344 that divides 73344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 191, 192, 382, 384, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336, 24448, 36672

Step-4: Factors of 73359

List of positive integer factors of 73359 that divides 73344 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73344 and 73359. The biggest common factor number is the GCF number.
So the greatest common factor 73344 and 73359 is 3.

Also check out the Least Common Multiple of 73344 and 73359