What is the Greatest Common Factor of 30254 and 30268?

Greatest common factor (GCF) of 30254 and 30268 is 14.

GCF(30254,30268) = 14

We will now calculate the prime factors of 30254 and 30268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30254 and 30268.

How to find the GCF of 30254 and 30268?

We will first find the prime factorization of 30254 and 30268. After we will calculate the factors of 30254 and 30268 and find the biggest common factor number .

Step-1: Prime Factorization of 30254

Prime factors of 30254 are 2, 7, 2161. Prime factorization of 30254 in exponential form is:

30254 = 2¹ × 7¹ × 2161¹

Step-2: Prime Factorization of 30268

Prime factors of 30268 are 2, 7, 23, 47. Prime factorization of 30268 in exponential form is:

30268 = 2² × 7¹ × 23¹ × 47¹

Step-3: Factors of 30254

List of positive integer factors of 30254 that divides 30254 without a remainder.

1, 2, 7, 14, 2161, 4322, 15127

Step-4: Factors of 30268

List of positive integer factors of 30268 that divides 30254 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 47, 92, 94, 161, 188, 322, 329, 644, 658, 1081, 1316, 2162, 4324, 7567, 15134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30254 and 30268. The biggest common factor number is the GCF number.
So the greatest common factor 30254 and 30268 is 14.

Also check out the Least Common Multiple of 30254 and 30268