What is the Greatest Common Factor of 15236 and 15254?

Greatest common factor (GCF) of 15236 and 15254 is 2.

GCF(15236,15254) = 2

We will now calculate the prime factors of 15236 and 15254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15236 and 15254.

How to find the GCF of 15236 and 15254?

We will first find the prime factorization of 15236 and 15254. After we will calculate the factors of 15236 and 15254 and find the biggest common factor number .

Step-1: Prime Factorization of 15236

Prime factors of 15236 are 2, 13, 293. Prime factorization of 15236 in exponential form is:

15236 = 2² × 13¹ × 293¹

Step-2: Prime Factorization of 15254

Prime factors of 15254 are 2, 29, 263. Prime factorization of 15254 in exponential form is:

15254 = 2¹ × 29¹ × 263¹

Step-3: Factors of 15236

List of positive integer factors of 15236 that divides 15236 without a remainder.

1, 2, 4, 13, 26, 52, 293, 586, 1172, 3809, 7618

Step-4: Factors of 15254

List of positive integer factors of 15254 that divides 15236 without a remainder.

1, 2, 29, 58, 263, 526, 7627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15236 and 15254. The biggest common factor number is the GCF number.
So the greatest common factor 15236 and 15254 is 2.

Also check out the Least Common Multiple of 15236 and 15254