What is the Greatest Common Factor of 15234 and 15252?

Greatest common factor (GCF) of 15234 and 15252 is 6.

GCF(15234,15252) = 6

We will now calculate the prime factors of 15234 and 15252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15234 and 15252.

How to find the GCF of 15234 and 15252?

We will first find the prime factorization of 15234 and 15252. After we will calculate the factors of 15234 and 15252 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 15252

Prime factors of 15252 are 2, 3, 31, 41. Prime factorization of 15252 in exponential form is:

15252 = 2² × 3¹ × 31¹ × 41¹

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 15252

List of positive integer factors of 15252 that divides 15234 without a remainder.

1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15234 and 15252. The biggest common factor number is the GCF number.
So the greatest common factor 15234 and 15252 is 6.

Also check out the Least Common Multiple of 15234 and 15252