What is the Greatest Common Factor of 30324 and 30343?

Greatest common factor (GCF) of 30324 and 30343 is 19.

GCF(30324,30343) = 19

We will now calculate the prime factors of 30324 and 30343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30324 and 30343.

How to find the GCF of 30324 and 30343?

We will first find the prime factorization of 30324 and 30343. After we will calculate the factors of 30324 and 30343 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 30343

Prime factors of 30343 are 19, 1597. Prime factorization of 30343 in exponential form is:

30343 = 19¹ × 1597¹

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 30343

List of positive integer factors of 30343 that divides 30324 without a remainder.

1, 19, 1597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30324 and 30343. The biggest common factor number is the GCF number.
So the greatest common factor 30324 and 30343 is 19.

Also check out the Least Common Multiple of 30324 and 30343