What is the Greatest Common Factor of 15238 and 15256?

Greatest common factor (GCF) of 15238 and 15256 is 2.

GCF(15238,15256) = 2

We will now calculate the prime factors of 15238 and 15256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15238 and 15256.

How to find the GCF of 15238 and 15256?

We will first find the prime factorization of 15238 and 15256. After we will calculate the factors of 15238 and 15256 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 15256

Prime factors of 15256 are 2, 1907. Prime factorization of 15256 in exponential form is:

15256 = 2³ × 1907¹

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 15256

List of positive integer factors of 15256 that divides 15238 without a remainder.

1, 2, 4, 8, 1907, 3814, 7628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15238 and 15256. The biggest common factor number is the GCF number.
So the greatest common factor 15238 and 15256 is 2.

Also check out the Least Common Multiple of 15238 and 15256