What is the Greatest Common Factor of 30229 and 30238?

Greatest common factor (GCF) of 30229 and 30238 is 1.

GCF(30229,30238) = 1

We will now calculate the prime factors of 30229 and 30238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30229 and 30238.

How to find the GCF of 30229 and 30238?

We will first find the prime factorization of 30229 and 30238. After we will calculate the factors of 30229 and 30238 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 30238

Prime factors of 30238 are 2, 13, 1163. Prime factorization of 30238 in exponential form is:

30238 = 2¹ × 13¹ × 1163¹

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 30238

List of positive integer factors of 30238 that divides 30229 without a remainder.

1, 2, 13, 26, 1163, 2326, 15119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30229 and 30238. The biggest common factor number is the GCF number.
So the greatest common factor 30229 and 30238 is 1.

Also check out the Least Common Multiple of 30229 and 30238