What is the Greatest Common Factor of 15238 and 15257?

Greatest common factor (GCF) of 15238 and 15257 is 19.

GCF(15238,15257) = 19

We will now calculate the prime factors of 15238 and 15257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15238 and 15257.

How to find the GCF of 15238 and 15257?

We will first find the prime factorization of 15238 and 15257. After we will calculate the factors of 15238 and 15257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15257

Prime factors of 15257 are 11, 19, 73. Prime factorization of 15257 in exponential form is:

15257 = 11¹ × 19¹ × 73¹

Step-3: Factors of 15238

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

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

Step-4: Factors of 15257

List of positive integer factors of 15257 that divides 15238 without a remainder.

1, 11, 19, 73, 209, 803, 1387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15238 and 15257. The biggest common factor number is the GCF number.
So the greatest common factor 15238 and 15257 is 19.

Also check out the Least Common Multiple of 15238 and 15257