What is the Greatest Common Factor of 30380 and 30394?

Greatest common factor (GCF) of 30380 and 30394 is 14.

GCF(30380,30394) = 14

We will now calculate the prime factors of 30380 and 30394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30380 and 30394.

How to find the GCF of 30380 and 30394?

We will first find the prime factorization of 30380 and 30394. After we will calculate the factors of 30380 and 30394 and find the biggest common factor number .

Step-1: Prime Factorization of 30380

Prime factors of 30380 are 2, 5, 7, 31. Prime factorization of 30380 in exponential form is:

30380 = 2² × 5¹ × 7² × 31¹

Step-2: Prime Factorization of 30394

Prime factors of 30394 are 2, 7, 13, 167. Prime factorization of 30394 in exponential form is:

30394 = 2¹ × 7¹ × 13¹ × 167¹

Step-3: Factors of 30380

List of positive integer factors of 30380 that divides 30380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 49, 62, 70, 98, 124, 140, 155, 196, 217, 245, 310, 434, 490, 620, 868, 980, 1085, 1519, 2170, 3038, 4340, 6076, 7595, 15190

Step-4: Factors of 30394

List of positive integer factors of 30394 that divides 30380 without a remainder.

1, 2, 7, 13, 14, 26, 91, 167, 182, 334, 1169, 2171, 2338, 4342, 15197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30380 and 30394. The biggest common factor number is the GCF number.
So the greatest common factor 30380 and 30394 is 14.

Also check out the Least Common Multiple of 30380 and 30394