What is the Greatest Common Factor of 30320 and 30340?

Greatest common factor (GCF) of 30320 and 30340 is 20.

GCF(30320,30340) = 20

We will now calculate the prime factors of 30320 and 30340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30320 and 30340.

How to find the GCF of 30320 and 30340?

We will first find the prime factorization of 30320 and 30340. After we will calculate the factors of 30320 and 30340 and find the biggest common factor number .

Step-1: Prime Factorization of 30320

Prime factors of 30320 are 2, 5, 379. Prime factorization of 30320 in exponential form is:

30320 = 2⁴ × 5¹ × 379¹

Step-2: Prime Factorization of 30340

Prime factors of 30340 are 2, 5, 37, 41. Prime factorization of 30340 in exponential form is:

30340 = 2² × 5¹ × 37¹ × 41¹

Step-3: Factors of 30320

List of positive integer factors of 30320 that divides 30320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 379, 758, 1516, 1895, 3032, 3790, 6064, 7580, 15160

Step-4: Factors of 30340

List of positive integer factors of 30340 that divides 30320 without a remainder.

1, 2, 4, 5, 10, 20, 37, 41, 74, 82, 148, 164, 185, 205, 370, 410, 740, 820, 1517, 3034, 6068, 7585, 15170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30320 and 30340. The biggest common factor number is the GCF number.
So the greatest common factor 30320 and 30340 is 20.

Also check out the Least Common Multiple of 30320 and 30340