What is the Greatest Common Factor of 15084 and 15094?

Greatest common factor (GCF) of 15084 and 15094 is 2.

GCF(15084,15094) = 2

We will now calculate the prime factors of 15084 and 15094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15084 and 15094.

How to find the GCF of 15084 and 15094?

We will first find the prime factorization of 15084 and 15094. After we will calculate the factors of 15084 and 15094 and find the biggest common factor number .

Step-1: Prime Factorization of 15084

Prime factors of 15084 are 2, 3, 419. Prime factorization of 15084 in exponential form is:

15084 = 2² × 3² × 419¹

Step-2: Prime Factorization of 15094

Prime factors of 15094 are 2, 7547. Prime factorization of 15094 in exponential form is:

15094 = 2¹ × 7547¹

Step-3: Factors of 15084

List of positive integer factors of 15084 that divides 15084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 419, 838, 1257, 1676, 2514, 3771, 5028, 7542

Step-4: Factors of 15094

List of positive integer factors of 15094 that divides 15084 without a remainder.

1, 2, 7547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15084 and 15094. The biggest common factor number is the GCF number.
So the greatest common factor 15084 and 15094 is 2.

Also check out the Least Common Multiple of 15084 and 15094