What is the Greatest Common Factor of 15588 and 15603?

Greatest common factor (GCF) of 15588 and 15603 is 3.

GCF(15588,15603) = 3

We will now calculate the prime factors of 15588 and 15603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15588 and 15603.

How to find the GCF of 15588 and 15603?

We will first find the prime factorization of 15588 and 15603. After we will calculate the factors of 15588 and 15603 and find the biggest common factor number .

Step-1: Prime Factorization of 15588

Prime factors of 15588 are 2, 3, 433. Prime factorization of 15588 in exponential form is:

15588 = 2² × 3² × 433¹

Step-2: Prime Factorization of 15603

Prime factors of 15603 are 3, 7, 743. Prime factorization of 15603 in exponential form is:

15603 = 3¹ × 7¹ × 743¹

Step-3: Factors of 15588

List of positive integer factors of 15588 that divides 15588 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 433, 866, 1299, 1732, 2598, 3897, 5196, 7794

Step-4: Factors of 15603

List of positive integer factors of 15603 that divides 15588 without a remainder.

1, 3, 7, 21, 743, 2229, 5201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15588 and 15603. The biggest common factor number is the GCF number.
So the greatest common factor 15588 and 15603 is 3.

Also check out the Least Common Multiple of 15588 and 15603