What is the Greatest Common Factor of 30369 and 30380?

Greatest common factor (GCF) of 30369 and 30380 is 1.

GCF(30369,30380) = 1

We will now calculate the prime factors of 30369 and 30380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30369 and 30380.

How to find the GCF of 30369 and 30380?

We will first find the prime factorization of 30369 and 30380. After we will calculate the factors of 30369 and 30380 and find the biggest common factor number .

Step-1: Prime Factorization of 30369

Prime factors of 30369 are 3, 53, 191. Prime factorization of 30369 in exponential form is:

30369 = 3¹ × 53¹ × 191¹

Step-2: 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-3: Factors of 30369

List of positive integer factors of 30369 that divides 30369 without a remainder.

1, 3, 53, 159, 191, 573, 10123

Step-4: Factors of 30380

List of positive integer factors of 30380 that divides 30369 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30369 and 30380. The biggest common factor number is the GCF number.
So the greatest common factor 30369 and 30380 is 1.

Also check out the Least Common Multiple of 30369 and 30380