What is the Greatest Common Factor of 67584 and 67593?

Greatest common factor (GCF) of 67584 and 67593 is 3.

GCF(67584,67593) = 3

We will now calculate the prime factors of 67584 and 67593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67584 and 67593.

How to find the GCF of 67584 and 67593?

We will first find the prime factorization of 67584 and 67593. After we will calculate the factors of 67584 and 67593 and find the biggest common factor number .

Step-1: Prime Factorization of 67584

Prime factors of 67584 are 2, 3, 11. Prime factorization of 67584 in exponential form is:

67584 = 2¹¹ × 3¹ × 11¹

Step-2: Prime Factorization of 67593

Prime factors of 67593 are 3, 22531. Prime factorization of 67593 in exponential form is:

67593 = 3¹ × 22531¹

Step-3: Factors of 67584

List of positive integer factors of 67584 that divides 67584 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1024, 1056, 1408, 1536, 2048, 2112, 2816, 3072, 4224, 5632, 6144, 8448, 11264, 16896, 22528, 33792

Step-4: Factors of 67593

List of positive integer factors of 67593 that divides 67584 without a remainder.

1, 3, 22531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67584 and 67593. The biggest common factor number is the GCF number.
So the greatest common factor 67584 and 67593 is 3.

Also check out the Least Common Multiple of 67584 and 67593