What is the Greatest Common Factor of 30229 and 30249?

Greatest common factor (GCF) of 30229 and 30249 is 1.

GCF(30229,30249) = 1

We will now calculate the prime factors of 30229 and 30249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30229 and 30249.

How to find the GCF of 30229 and 30249?

We will first find the prime factorization of 30229 and 30249. After we will calculate the factors of 30229 and 30249 and find the biggest common factor number .

Step-1: Prime Factorization of 30229

Prime factors of 30229 are 19, 37, 43. Prime factorization of 30229 in exponential form is:

30229 = 19¹ × 37¹ × 43¹

Step-2: Prime Factorization of 30249

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

30249 = 3² × 3361¹

Step-3: Factors of 30229

List of positive integer factors of 30229 that divides 30229 without a remainder.

1, 19, 37, 43, 703, 817, 1591

Step-4: Factors of 30249

List of positive integer factors of 30249 that divides 30229 without a remainder.

1, 3, 9, 3361, 10083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30229 and 30249. The biggest common factor number is the GCF number.
So the greatest common factor 30229 and 30249 is 1.

Also check out the Least Common Multiple of 30229 and 30249