What is the Greatest Common Factor of 30354 and 30363?

Greatest common factor (GCF) of 30354 and 30363 is 3.

GCF(30354,30363) = 3

We will now calculate the prime factors of 30354 and 30363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30354 and 30363.

How to find the GCF of 30354 and 30363?

We will first find the prime factorization of 30354 and 30363. After we will calculate the factors of 30354 and 30363 and find the biggest common factor number .

Step-1: Prime Factorization of 30354

Prime factors of 30354 are 2, 3, 5059. Prime factorization of 30354 in exponential form is:

30354 = 2¹ × 3¹ × 5059¹

Step-2: 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-3: Factors of 30354

List of positive integer factors of 30354 that divides 30354 without a remainder.

1, 2, 3, 6, 5059, 10118, 15177

Step-4: Factors of 30363

List of positive integer factors of 30363 that divides 30354 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30354 and 30363. The biggest common factor number is the GCF number.
So the greatest common factor 30354 and 30363 is 3.

Also check out the Least Common Multiple of 30354 and 30363