What is the Greatest Common Factor of 3588 and 3603?

Greatest common factor (GCF) of 3588 and 3603 is 3.

GCF(3588,3603) = 3

We will now calculate the prime factors of 3588 and 3603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3588 and 3603.

How to find the GCF of 3588 and 3603?

We will first find the prime factorization of 3588 and 3603. After we will calculate the factors of 3588 and 3603 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 3603

Prime factors of 3603 are 3, 1201. Prime factorization of 3603 in exponential form is:

3603 = 3¹ × 1201¹

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 3603

List of positive integer factors of 3603 that divides 3588 without a remainder.

1, 3, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3588 and 3603. The biggest common factor number is the GCF number.
So the greatest common factor 3588 and 3603 is 3.

Also check out the Least Common Multiple of 3588 and 3603