What is the Greatest Common Factor of 46864 and 46871?

Greatest common factor (GCF) of 46864 and 46871 is 1.

GCF(46864,46871) = 1

We will now calculate the prime factors of 46864 and 46871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46864 and 46871.

How to find the GCF of 46864 and 46871?

We will first find the prime factorization of 46864 and 46871. After we will calculate the factors of 46864 and 46871 and find the biggest common factor number .

Step-1: Prime Factorization of 46864

Prime factors of 46864 are 2, 29, 101. Prime factorization of 46864 in exponential form is:

46864 = 2⁴ × 29¹ × 101¹

Step-2: Prime Factorization of 46871

Prime factors of 46871 are 11, 4261. Prime factorization of 46871 in exponential form is:

46871 = 11¹ × 4261¹

Step-3: Factors of 46864

List of positive integer factors of 46864 that divides 46864 without a remainder.

1, 2, 4, 8, 16, 29, 58, 101, 116, 202, 232, 404, 464, 808, 1616, 2929, 5858, 11716, 23432

Step-4: Factors of 46871

List of positive integer factors of 46871 that divides 46864 without a remainder.

1, 11, 4261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46864 and 46871. The biggest common factor number is the GCF number.
So the greatest common factor 46864 and 46871 is 1.

Also check out the Least Common Multiple of 46864 and 46871