What is the Greatest Common Factor of 30249 and 30261?

Greatest common factor (GCF) of 30249 and 30261 is 3.

GCF(30249,30261) = 3

We will now calculate the prime factors of 30249 and 30261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30249 and 30261.

How to find the GCF of 30249 and 30261?

We will first find the prime factorization of 30249 and 30261. After we will calculate the factors of 30249 and 30261 and find the biggest common factor number .

Step-1: Prime Factorization of 30249

Prime factors of 30249 are 3, 3361. Prime factorization of 30249 in exponential form is:

30249 = 3² × 3361¹

Step-2: Prime Factorization of 30261

Prime factors of 30261 are 3, 7, 11, 131. Prime factorization of 30261 in exponential form is:

30261 = 3¹ × 7¹ × 11¹ × 131¹

Step-3: Factors of 30249

List of positive integer factors of 30249 that divides 30249 without a remainder.

1, 3, 9, 3361, 10083

Step-4: Factors of 30261

List of positive integer factors of 30261 that divides 30249 without a remainder.

1, 3, 7, 11, 21, 33, 77, 131, 231, 393, 917, 1441, 2751, 4323, 10087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30249 and 30261. The biggest common factor number is the GCF number.
So the greatest common factor 30249 and 30261 is 3.

Also check out the Least Common Multiple of 30249 and 30261