What is the Greatest Common Factor of 15572 and 15589?

Greatest common factor (GCF) of 15572 and 15589 is 17.

GCF(15572,15589) = 17

We will now calculate the prime factors of 15572 and 15589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15572 and 15589.

How to find the GCF of 15572 and 15589?

We will first find the prime factorization of 15572 and 15589. After we will calculate the factors of 15572 and 15589 and find the biggest common factor number .

Step-1: Prime Factorization of 15572

Prime factors of 15572 are 2, 17, 229. Prime factorization of 15572 in exponential form is:

15572 = 2² × 17¹ × 229¹

Step-2: Prime Factorization of 15589

Prime factors of 15589 are 7, 17, 131. Prime factorization of 15589 in exponential form is:

15589 = 7¹ × 17¹ × 131¹

Step-3: Factors of 15572

List of positive integer factors of 15572 that divides 15572 without a remainder.

1, 2, 4, 17, 34, 68, 229, 458, 916, 3893, 7786

Step-4: Factors of 15589

List of positive integer factors of 15589 that divides 15572 without a remainder.

1, 7, 17, 119, 131, 917, 2227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15572 and 15589. The biggest common factor number is the GCF number.
So the greatest common factor 15572 and 15589 is 17.

Also check out the Least Common Multiple of 15572 and 15589