What is the Greatest Common Factor of 3584 and 3599?

Greatest common factor (GCF) of 3584 and 3599 is 1.

GCF(3584,3599) = 1

We will now calculate the prime factors of 3584 and 3599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3584 and 3599.

How to find the GCF of 3584 and 3599?

We will first find the prime factorization of 3584 and 3599. After we will calculate the factors of 3584 and 3599 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 3599

Prime factors of 3599 are 59, 61. Prime factorization of 3599 in exponential form is:

3599 = 59¹ × 61¹

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 3599

List of positive integer factors of 3599 that divides 3584 without a remainder.

1, 59, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3584 and 3599. The biggest common factor number is the GCF number.
So the greatest common factor 3584 and 3599 is 1.

Also check out the Least Common Multiple of 3584 and 3599