What is the Greatest Common Factor of 15578 and 15596?

Greatest common factor (GCF) of 15578 and 15596 is 2.

GCF(15578,15596) = 2

We will now calculate the prime factors of 15578 and 15596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15578 and 15596.

How to find the GCF of 15578 and 15596?

We will first find the prime factorization of 15578 and 15596. After we will calculate the factors of 15578 and 15596 and find the biggest common factor number .

Step-1: Prime Factorization of 15578

Prime factors of 15578 are 2, 7789. Prime factorization of 15578 in exponential form is:

15578 = 2¹ × 7789¹

Step-2: Prime Factorization of 15596

Prime factors of 15596 are 2, 7, 557. Prime factorization of 15596 in exponential form is:

15596 = 2² × 7¹ × 557¹

Step-3: Factors of 15578

List of positive integer factors of 15578 that divides 15578 without a remainder.

1, 2, 7789

Step-4: Factors of 15596

List of positive integer factors of 15596 that divides 15578 without a remainder.

1, 2, 4, 7, 14, 28, 557, 1114, 2228, 3899, 7798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15578 and 15596. The biggest common factor number is the GCF number.
So the greatest common factor 15578 and 15596 is 2.

Also check out the Least Common Multiple of 15578 and 15596