What is the Greatest Common Factor of 15214 and 15234?

Greatest common factor (GCF) of 15214 and 15234 is 2.

GCF(15214,15234) = 2

We will now calculate the prime factors of 15214 and 15234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15214 and 15234.

How to find the GCF of 15214 and 15234?

We will first find the prime factorization of 15214 and 15234. After we will calculate the factors of 15214 and 15234 and find the biggest common factor number .

Step-1: Prime Factorization of 15214

Prime factors of 15214 are 2, 7607. Prime factorization of 15214 in exponential form is:

15214 = 2¹ × 7607¹

Step-2: 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-3: Factors of 15214

List of positive integer factors of 15214 that divides 15214 without a remainder.

1, 2, 7607

Step-4: Factors of 15234

List of positive integer factors of 15234 that divides 15214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15214 and 15234. The biggest common factor number is the GCF number.
So the greatest common factor 15214 and 15234 is 2.

Also check out the Least Common Multiple of 15214 and 15234