What is the Greatest Common Factor of 30238 and 30256?

Greatest common factor (GCF) of 30238 and 30256 is 2.

GCF(30238,30256) = 2

We will now calculate the prime factors of 30238 and 30256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30238 and 30256.

How to find the GCF of 30238 and 30256?

We will first find the prime factorization of 30238 and 30256. After we will calculate the factors of 30238 and 30256 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 30238

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

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

Step-4: Factors of 30256

List of positive integer factors of 30256 that divides 30238 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30238 and 30256. The biggest common factor number is the GCF number.
So the greatest common factor 30238 and 30256 is 2.

Also check out the Least Common Multiple of 30238 and 30256