What is the Greatest Common Factor of 15204 and 15214?

Greatest common factor (GCF) of 15204 and 15214 is 2.

GCF(15204,15214) = 2

We will now calculate the prime factors of 15204 and 15214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15204 and 15214.

How to find the GCF of 15204 and 15214?

We will first find the prime factorization of 15204 and 15214. After we will calculate the factors of 15204 and 15214 and find the biggest common factor number .

Step-1: Prime Factorization of 15204

Prime factors of 15204 are 2, 3, 7, 181. Prime factorization of 15204 in exponential form is:

15204 = 2² × 3¹ × 7¹ × 181¹

Step-2: Prime Factorization of 15214

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

15214 = 2¹ × 7607¹

Step-3: Factors of 15204

List of positive integer factors of 15204 that divides 15204 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602

Step-4: Factors of 15214

List of positive integer factors of 15214 that divides 15204 without a remainder.

1, 2, 7607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15204 and 15214. The biggest common factor number is the GCF number.
So the greatest common factor 15204 and 15214 is 2.

Also check out the Least Common Multiple of 15204 and 15214