What is the Greatest Common Factor of 46864 and 46879?

Greatest common factor (GCF) of 46864 and 46879 is 1.

GCF(46864,46879) = 1

We will now calculate the prime factors of 46864 and 46879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46864 and 46879.

How to find the GCF of 46864 and 46879?

We will first find the prime factorization of 46864 and 46879. After we will calculate the factors of 46864 and 46879 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 46879

Prime factors of 46879 are 7, 37, 181. Prime factorization of 46879 in exponential form is:

46879 = 7¹ × 37¹ × 181¹

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 46879

List of positive integer factors of 46879 that divides 46864 without a remainder.

1, 7, 37, 181, 259, 1267, 6697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46864 and 46879. The biggest common factor number is the GCF number.
So the greatest common factor 46864 and 46879 is 1.

Also check out the Least Common Multiple of 46864 and 46879