What is the Greatest Common Factor of 3568 and 3584?

Greatest common factor (GCF) of 3568 and 3584 is 16.

GCF(3568,3584) = 16

We will now calculate the prime factors of 3568 and 3584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3568 and 3584.

How to find the GCF of 3568 and 3584?

We will first find the prime factorization of 3568 and 3584. After we will calculate the factors of 3568 and 3584 and find the biggest common factor number .

Step-1: Prime Factorization of 3568

Prime factors of 3568 are 2, 223. Prime factorization of 3568 in exponential form is:

3568 = 2⁴ × 223¹

Step-2: Prime Factorization of 3584

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

3584 = 2⁹ × 7¹

Step-3: Factors of 3568

List of positive integer factors of 3568 that divides 3568 without a remainder.

1, 2, 4, 8, 16, 223, 446, 892, 1784

Step-4: Factors of 3584

List of positive integer factors of 3584 that divides 3568 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3568 and 3584. The biggest common factor number is the GCF number.
So the greatest common factor 3568 and 3584 is 16.

Also check out the Least Common Multiple of 3568 and 3584