What is the Greatest Common Factor of 3584 and 3593?

Greatest common factor (GCF) of 3584 and 3593 is 1.

GCF(3584,3593) = 1

We will now calculate the prime factors of 3584 and 3593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3584 and 3593.

How to find the GCF of 3584 and 3593?

We will first find the prime factorization of 3584 and 3593. After we will calculate the factors of 3584 and 3593 and find the biggest common factor number .

Step-1: Prime Factorization of 3584

Prime factors of 3584 are 2, 7. Prime factorization of 3584 in exponential form is:

3584 = 2⁹ × 7¹

Step-2: Prime Factorization of 3593

Prime factors of 3593 are 3593. Prime factorization of 3593 in exponential form is:

3593 = 3593¹

Step-3: Factors of 3584

List of positive integer factors of 3584 that divides 3584 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792

Step-4: Factors of 3593

List of positive integer factors of 3593 that divides 3584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3584 and 3593. The biggest common factor number is the GCF number.
So the greatest common factor 3584 and 3593 is 1.

Also check out the Least Common Multiple of 3584 and 3593