What is the Greatest Common Factor of 67584 and 67591?

Greatest common factor (GCF) of 67584 and 67591 is 1.

GCF(67584,67591) = 1

We will now calculate the prime factors of 67584 and 67591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67584 and 67591.

How to find the GCF of 67584 and 67591?

We will first find the prime factorization of 67584 and 67591. After we will calculate the factors of 67584 and 67591 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 67591

Prime factors of 67591 are 257, 263. Prime factorization of 67591 in exponential form is:

67591 = 257¹ × 263¹

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 67591

List of positive integer factors of 67591 that divides 67584 without a remainder.

1, 257, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67584 and 67591. The biggest common factor number is the GCF number.
So the greatest common factor 67584 and 67591 is 1.

Also check out the Least Common Multiple of 67584 and 67591