What is the Greatest Common Factor of 15078 and 15084?

Greatest common factor (GCF) of 15078 and 15084 is 6.

GCF(15078,15084) = 6

We will now calculate the prime factors of 15078 and 15084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15078 and 15084.

How to find the GCF of 15078 and 15084?

We will first find the prime factorization of 15078 and 15084. After we will calculate the factors of 15078 and 15084 and find the biggest common factor number .

Step-1: Prime Factorization of 15078

Prime factors of 15078 are 2, 3, 7, 359. Prime factorization of 15078 in exponential form is:

15078 = 2¹ × 3¹ × 7¹ × 359¹

Step-2: 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-3: Factors of 15078

List of positive integer factors of 15078 that divides 15078 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 359, 718, 1077, 2154, 2513, 5026, 7539

Step-4: Factors of 15084

List of positive integer factors of 15084 that divides 15078 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15078 and 15084. The biggest common factor number is the GCF number.
So the greatest common factor 15078 and 15084 is 6.

Also check out the Least Common Multiple of 15078 and 15084