What is the Greatest Common Factor of 30324 and 30342?

Greatest common factor (GCF) of 30324 and 30342 is 6.

GCF(30324,30342) = 6

We will now calculate the prime factors of 30324 and 30342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30324 and 30342.

How to find the GCF of 30324 and 30342?

We will first find the prime factorization of 30324 and 30342. After we will calculate the factors of 30324 and 30342 and find the biggest common factor number .

Step-1: Prime Factorization of 30324

Prime factors of 30324 are 2, 3, 7, 19. Prime factorization of 30324 in exponential form is:

30324 = 2² × 3¹ × 7¹ × 19²

Step-2: Prime Factorization of 30342

Prime factors of 30342 are 2, 3, 13, 389. Prime factorization of 30342 in exponential form is:

30342 = 2¹ × 3¹ × 13¹ × 389¹

Step-3: Factors of 30324

List of positive integer factors of 30324 that divides 30324 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 361, 399, 532, 722, 798, 1083, 1444, 1596, 2166, 2527, 4332, 5054, 7581, 10108, 15162

Step-4: Factors of 30342

List of positive integer factors of 30342 that divides 30324 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 389, 778, 1167, 2334, 5057, 10114, 15171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30324 and 30342. The biggest common factor number is the GCF number.
So the greatest common factor 30324 and 30342 is 6.

Also check out the Least Common Multiple of 30324 and 30342