What is the Greatest Common Factor of 15219 and 15238?

Greatest common factor (GCF) of 15219 and 15238 is 19.

GCF(15219,15238) = 19

We will now calculate the prime factors of 15219 and 15238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15219 and 15238.

How to find the GCF of 15219 and 15238?

We will first find the prime factorization of 15219 and 15238. After we will calculate the factors of 15219 and 15238 and find the biggest common factor number .

Step-1: Prime Factorization of 15219

Prime factors of 15219 are 3, 19, 89. Prime factorization of 15219 in exponential form is:

15219 = 3² × 19¹ × 89¹

Step-2: Prime Factorization of 15238

Prime factors of 15238 are 2, 19, 401. Prime factorization of 15238 in exponential form is:

15238 = 2¹ × 19¹ × 401¹

Step-3: Factors of 15219

List of positive integer factors of 15219 that divides 15219 without a remainder.

1, 3, 9, 19, 57, 89, 171, 267, 801, 1691, 5073

Step-4: Factors of 15238

List of positive integer factors of 15238 that divides 15219 without a remainder.

1, 2, 19, 38, 401, 802, 7619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15219 and 15238. The biggest common factor number is the GCF number.
So the greatest common factor 15219 and 15238 is 19.

Also check out the Least Common Multiple of 15219 and 15238