What is the Greatest Common Factor of 46238 and 46256?

Greatest common factor (GCF) of 46238 and 46256 is 2.

GCF(46238,46256) = 2

We will now calculate the prime factors of 46238 and 46256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46238 and 46256.

How to find the GCF of 46238 and 46256?

We will first find the prime factorization of 46238 and 46256. After we will calculate the factors of 46238 and 46256 and find the biggest common factor number .

Step-1: Prime Factorization of 46238

Prime factors of 46238 are 2, 61, 379. Prime factorization of 46238 in exponential form is:

46238 = 2¹ × 61¹ × 379¹

Step-2: Prime Factorization of 46256

Prime factors of 46256 are 2, 7, 59. Prime factorization of 46256 in exponential form is:

46256 = 2⁴ × 7² × 59¹

Step-3: Factors of 46238

List of positive integer factors of 46238 that divides 46238 without a remainder.

1, 2, 61, 122, 379, 758, 23119

Step-4: Factors of 46256

List of positive integer factors of 46256 that divides 46238 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 59, 98, 112, 118, 196, 236, 392, 413, 472, 784, 826, 944, 1652, 2891, 3304, 5782, 6608, 11564, 23128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46238 and 46256. The biggest common factor number is the GCF number.
So the greatest common factor 46238 and 46256 is 2.

Also check out the Least Common Multiple of 46238 and 46256