What is the Greatest Common Factor of 3584 and 3588?

Greatest common factor (GCF) of 3584 and 3588 is 4.

GCF(3584,3588) = 4

We will now calculate the prime factors of 3584 and 3588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3584 and 3588.

How to find the GCF of 3584 and 3588?

We will first find the prime factorization of 3584 and 3588. After we will calculate the factors of 3584 and 3588 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 3588

Prime factors of 3588 are 2, 3, 13, 23. Prime factorization of 3588 in exponential form is:

3588 = 2² × 3¹ × 13¹ × 23¹

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 3588

List of positive integer factors of 3588 that divides 3584 without a remainder.

1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3584 and 3588. The biggest common factor number is the GCF number.
So the greatest common factor 3584 and 3588 is 4.

Also check out the Least Common Multiple of 3584 and 3588