What is the Greatest Common Factor of 30363 and 30369?

Greatest common factor (GCF) of 30363 and 30369 is 3.

GCF(30363,30369) = 3

We will now calculate the prime factors of 30363 and 30369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30363 and 30369.

How to find the GCF of 30363 and 30369?

We will first find the prime factorization of 30363 and 30369. After we will calculate the factors of 30363 and 30369 and find the biggest common factor number .

Step-1: Prime Factorization of 30363

Prime factors of 30363 are 3, 29, 349. Prime factorization of 30363 in exponential form is:

30363 = 3¹ × 29¹ × 349¹

Step-2: 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-3: Factors of 30363

List of positive integer factors of 30363 that divides 30363 without a remainder.

1, 3, 29, 87, 349, 1047, 10121

Step-4: Factors of 30369

List of positive integer factors of 30369 that divides 30363 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30363 and 30369. The biggest common factor number is the GCF number.
So the greatest common factor 30363 and 30369 is 3.

Also check out the Least Common Multiple of 30363 and 30369