What is the Greatest Common Factor of 30380 and 30397?

Greatest common factor (GCF) of 30380 and 30397 is 1.

GCF(30380,30397) = 1

We will now calculate the prime factors of 30380 and 30397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30380 and 30397.

How to find the GCF of 30380 and 30397?

We will first find the prime factorization of 30380 and 30397. After we will calculate the factors of 30380 and 30397 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 30397

Prime factors of 30397 are 113, 269. Prime factorization of 30397 in exponential form is:

30397 = 113¹ × 269¹

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 30397

List of positive integer factors of 30397 that divides 30380 without a remainder.

1, 113, 269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30380 and 30397. The biggest common factor number is the GCF number.
So the greatest common factor 30380 and 30397 is 1.

Also check out the Least Common Multiple of 30380 and 30397