What is the Greatest Common Factor of 15596 and 15610?

Greatest common factor (GCF) of 15596 and 15610 is 14.

GCF(15596,15610) = 14

We will now calculate the prime factors of 15596 and 15610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15596 and 15610.

How to find the GCF of 15596 and 15610?

We will first find the prime factorization of 15596 and 15610. After we will calculate the factors of 15596 and 15610 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15610

Prime factors of 15610 are 2, 5, 7, 223. Prime factorization of 15610 in exponential form is:

15610 = 2¹ × 5¹ × 7¹ × 223¹

Step-3: Factors of 15596

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

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

Step-4: Factors of 15610

List of positive integer factors of 15610 that divides 15596 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 223, 446, 1115, 1561, 2230, 3122, 7805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15596 and 15610. The biggest common factor number is the GCF number.
So the greatest common factor 15596 and 15610 is 14.

Also check out the Least Common Multiple of 15596 and 15610