What is the Greatest Common Factor of 3584 and 3601?

Greatest common factor (GCF) of 3584 and 3601 is 1.

GCF(3584,3601) = 1

We will now calculate the prime factors of 3584 and 3601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3584 and 3601.

How to find the GCF of 3584 and 3601?

We will first find the prime factorization of 3584 and 3601. After we will calculate the factors of 3584 and 3601 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 3601

Prime factors of 3601 are 13, 277. Prime factorization of 3601 in exponential form is:

3601 = 13¹ × 277¹

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 3601

List of positive integer factors of 3601 that divides 3584 without a remainder.

1, 13, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3584 and 3601. The biggest common factor number is the GCF number.
So the greatest common factor 3584 and 3601 is 1.

Also check out the Least Common Multiple of 3584 and 3601