What is the Greatest Common Factor of 15234 and 15251?

Greatest common factor (GCF) of 15234 and 15251 is 1.

GCF(15234,15251) = 1

We will now calculate the prime factors of 15234 and 15251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15234 and 15251.

How to find the GCF of 15234 and 15251?

We will first find the prime factorization of 15234 and 15251. After we will calculate the factors of 15234 and 15251 and find the biggest common factor number .

Step-1: Prime Factorization of 15234

Prime factors of 15234 are 2, 3, 2539. Prime factorization of 15234 in exponential form is:

15234 = 2¹ × 3¹ × 2539¹

Step-2: Prime Factorization of 15251

Prime factors of 15251 are 101, 151. Prime factorization of 15251 in exponential form is:

15251 = 101¹ × 151¹

Step-3: Factors of 15234

List of positive integer factors of 15234 that divides 15234 without a remainder.

1, 2, 3, 6, 2539, 5078, 7617

Step-4: Factors of 15251

List of positive integer factors of 15251 that divides 15234 without a remainder.

1, 101, 151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15234 and 15251. The biggest common factor number is the GCF number.
So the greatest common factor 15234 and 15251 is 1.

Also check out the Least Common Multiple of 15234 and 15251