What is the Greatest Common Factor of 3584 and 3602?

Greatest common factor (GCF) of 3584 and 3602 is 2.

GCF(3584,3602) = 2

We will now calculate the prime factors of 3584 and 3602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3584 and 3602.

How to find the GCF of 3584 and 3602?

We will first find the prime factorization of 3584 and 3602. After we will calculate the factors of 3584 and 3602 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 3602

Prime factors of 3602 are 2, 1801. Prime factorization of 3602 in exponential form is:

3602 = 2¹ × 1801¹

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 3602

List of positive integer factors of 3602 that divides 3584 without a remainder.

1, 2, 1801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3584 and 3602. The biggest common factor number is the GCF number.
So the greatest common factor 3584 and 3602 is 2.

Also check out the Least Common Multiple of 3584 and 3602