What is the Greatest Common Factor of 3588 and 3601?

Greatest common factor (GCF) of 3588 and 3601 is 13.

GCF(3588,3601) = 13

We will now calculate the prime factors of 3588 and 3601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3588 and 3601.

How to find the GCF of 3588 and 3601?

We will first find the prime factorization of 3588 and 3601. After we will calculate the factors of 3588 and 3601 and find the biggest common factor number .

Step-1: 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-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 3588

List of positive integer factors of 3588 that divides 3588 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

Step-4: Factors of 3601

List of positive integer factors of 3601 that divides 3588 without a remainder.

1, 13, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3588 and 3601. The biggest common factor number is the GCF number.
So the greatest common factor 3588 and 3601 is 13.

Also check out the Least Common Multiple of 3588 and 3601