What is the Greatest Common Factor of 67335 and 67344?

Greatest common factor (GCF) of 67335 and 67344 is 3.

GCF(67335,67344) = 3

We will now calculate the prime factors of 67335 and 67344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67335 and 67344.

How to find the GCF of 67335 and 67344?

We will first find the prime factorization of 67335 and 67344. After we will calculate the factors of 67335 and 67344 and find the biggest common factor number .

Step-1: Prime Factorization of 67335

Prime factors of 67335 are 3, 5, 67. Prime factorization of 67335 in exponential form is:

67335 = 3¹ × 5¹ × 67²

Step-2: Prime Factorization of 67344

Prime factors of 67344 are 2, 3, 23, 61. Prime factorization of 67344 in exponential form is:

67344 = 2⁴ × 3¹ × 23¹ × 61¹

Step-3: Factors of 67335

List of positive integer factors of 67335 that divides 67335 without a remainder.

1, 3, 5, 15, 67, 201, 335, 1005, 4489, 13467, 22445

Step-4: Factors of 67344

List of positive integer factors of 67344 that divides 67335 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 61, 69, 92, 122, 138, 183, 184, 244, 276, 366, 368, 488, 552, 732, 976, 1104, 1403, 1464, 2806, 2928, 4209, 5612, 8418, 11224, 16836, 22448, 33672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67335 and 67344. The biggest common factor number is the GCF number.
So the greatest common factor 67335 and 67344 is 3.

Also check out the Least Common Multiple of 67335 and 67344