What is the Greatest Common Factor of 30261 and 30279?

Greatest common factor (GCF) of 30261 and 30279 is 3.

GCF(30261,30279) = 3

We will now calculate the prime factors of 30261 and 30279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30261 and 30279.

How to find the GCF of 30261 and 30279?

We will first find the prime factorization of 30261 and 30279. After we will calculate the factors of 30261 and 30279 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30279

Prime factors of 30279 are 3, 10093. Prime factorization of 30279 in exponential form is:

30279 = 3¹ × 10093¹

Step-3: Factors of 30261

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

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

Step-4: Factors of 30279

List of positive integer factors of 30279 that divides 30261 without a remainder.

1, 3, 10093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30261 and 30279. The biggest common factor number is the GCF number.
So the greatest common factor 30261 and 30279 is 3.

Also check out the Least Common Multiple of 30261 and 30279