What is the Greatest Common Factor of 46864 and 46882?

Greatest common factor (GCF) of 46864 and 46882 is 2.

GCF(46864,46882) = 2

We will now calculate the prime factors of 46864 and 46882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46864 and 46882.

How to find the GCF of 46864 and 46882?

We will first find the prime factorization of 46864 and 46882. After we will calculate the factors of 46864 and 46882 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 46882

Prime factors of 46882 are 2, 11, 2131. Prime factorization of 46882 in exponential form is:

46882 = 2¹ × 11¹ × 2131¹

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 46882

List of positive integer factors of 46882 that divides 46864 without a remainder.

1, 2, 11, 22, 2131, 4262, 23441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46864 and 46882. The biggest common factor number is the GCF number.
So the greatest common factor 46864 and 46882 is 2.

Also check out the Least Common Multiple of 46864 and 46882