What is the Greatest Common Factor of 30380 and 30398?

Greatest common factor (GCF) of 30380 and 30398 is 2.

GCF(30380,30398) = 2

We will now calculate the prime factors of 30380 and 30398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30380 and 30398.

How to find the GCF of 30380 and 30398?

We will first find the prime factorization of 30380 and 30398. After we will calculate the factors of 30380 and 30398 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 30398

Prime factors of 30398 are 2, 15199. Prime factorization of 30398 in exponential form is:

30398 = 2¹ × 15199¹

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 30398

List of positive integer factors of 30398 that divides 30380 without a remainder.

1, 2, 15199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30380 and 30398. The biggest common factor number is the GCF number.
So the greatest common factor 30380 and 30398 is 2.

Also check out the Least Common Multiple of 30380 and 30398