What is the Greatest Common Factor of 30256 and 30274?

Greatest common factor (GCF) of 30256 and 30274 is 2.

GCF(30256,30274) = 2

We will now calculate the prime factors of 30256 and 30274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30256 and 30274.

How to find the GCF of 30256 and 30274?

We will first find the prime factorization of 30256 and 30274. After we will calculate the factors of 30256 and 30274 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 30274

Prime factors of 30274 are 2, 15137. Prime factorization of 30274 in exponential form is:

30274 = 2¹ × 15137¹

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 30274

List of positive integer factors of 30274 that divides 30256 without a remainder.

1, 2, 15137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30256 and 30274. The biggest common factor number is the GCF number.
So the greatest common factor 30256 and 30274 is 2.

Also check out the Least Common Multiple of 30256 and 30274