What is the Greatest Common Factor of 46263 and 46271?

Greatest common factor (GCF) of 46263 and 46271 is 1.

GCF(46263,46271) = 1

We will now calculate the prime factors of 46263 and 46271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46263 and 46271.

How to find the GCF of 46263 and 46271?

We will first find the prime factorization of 46263 and 46271. After we will calculate the factors of 46263 and 46271 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46271

Prime factors of 46271 are 46271. Prime factorization of 46271 in exponential form is:

46271 = 46271¹

Step-3: Factors of 46263

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

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

Step-4: Factors of 46271

List of positive integer factors of 46271 that divides 46263 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46263 and 46271. The biggest common factor number is the GCF number.
So the greatest common factor 46263 and 46271 is 1.

Also check out the Least Common Multiple of 46263 and 46271