What is the Greatest Common Factor of 46256 and 46263?

Greatest common factor (GCF) of 46256 and 46263 is 7.

GCF(46256,46263) = 7

We will now calculate the prime factors of 46256 and 46263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46256 and 46263.

How to find the GCF of 46256 and 46263?

We will first find the prime factorization of 46256 and 46263. After we will calculate the factors of 46256 and 46263 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46263

Prime factors of 46263 are 3, 7, 2203. Prime factorization of 46263 in exponential form is:

46263 = 3¹ × 7¹ × 2203¹

Step-3: Factors of 46256

List of positive integer factors of 46256 that divides 46256 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

Step-4: Factors of 46263

List of positive integer factors of 46263 that divides 46256 without a remainder.

1, 3, 7, 21, 2203, 6609, 15421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46256 and 46263. The biggest common factor number is the GCF number.
So the greatest common factor 46256 and 46263 is 7.

Also check out the Least Common Multiple of 46256 and 46263