What is the Greatest Common Factor of 3584 and 3590?

Greatest common factor (GCF) of 3584 and 3590 is 2.

GCF(3584,3590) = 2

We will now calculate the prime factors of 3584 and 3590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3584 and 3590.

How to find the GCF of 3584 and 3590?

We will first find the prime factorization of 3584 and 3590. After we will calculate the factors of 3584 and 3590 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 3590

Prime factors of 3590 are 2, 5, 359. Prime factorization of 3590 in exponential form is:

3590 = 2¹ × 5¹ × 359¹

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 3590

List of positive integer factors of 3590 that divides 3584 without a remainder.

1, 2, 5, 10, 359, 718, 1795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3584 and 3590. The biggest common factor number is the GCF number.
So the greatest common factor 3584 and 3590 is 2.

Also check out the Least Common Multiple of 3584 and 3590