What is the Greatest Common Factor of 30256 and 30268?

Greatest common factor (GCF) of 30256 and 30268 is 4.

GCF(30256,30268) = 4

We will now calculate the prime factors of 30256 and 30268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30256 and 30268.

How to find the GCF of 30256 and 30268?

We will first find the prime factorization of 30256 and 30268. After we will calculate the factors of 30256 and 30268 and find the biggest common factor number .

Step-1: Prime Factorization of 30256

Prime factors of 30256 are 2, 31, 61. Prime factorization of 30256 in exponential form is:

30256 = 2⁴ × 31¹ × 61¹

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 30256

List of positive integer factors of 30256 that divides 30256 without a remainder.

1, 2, 4, 8, 16, 31, 61, 62, 122, 124, 244, 248, 488, 496, 976, 1891, 3782, 7564, 15128

Step-4: Factors of 30268

List of positive integer factors of 30268 that divides 30256 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 30256 and 30268. The biggest common factor number is the GCF number.
So the greatest common factor 30256 and 30268 is 4.

Also check out the Least Common Multiple of 30256 and 30268