What is the Greatest Common Factor of 30380 and 30389?

Greatest common factor (GCF) of 30380 and 30389 is 1.

GCF(30380,30389) = 1

We will now calculate the prime factors of 30380 and 30389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30380 and 30389.

How to find the GCF of 30380 and 30389?

We will first find the prime factorization of 30380 and 30389. After we will calculate the factors of 30380 and 30389 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 30389

Prime factors of 30389 are 30389. Prime factorization of 30389 in exponential form is:

30389 = 30389¹

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 30389

List of positive integer factors of 30389 that divides 30380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30380 and 30389. The biggest common factor number is the GCF number.
So the greatest common factor 30380 and 30389 is 1.

Also check out the Least Common Multiple of 30380 and 30389