What is the Greatest Common Factor of 46864 and 46880?

Greatest common factor (GCF) of 46864 and 46880 is 16.

GCF(46864,46880) = 16

We will now calculate the prime factors of 46864 and 46880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46864 and 46880.

How to find the GCF of 46864 and 46880?

We will first find the prime factorization of 46864 and 46880. After we will calculate the factors of 46864 and 46880 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 46880

Prime factors of 46880 are 2, 5, 293. Prime factorization of 46880 in exponential form is:

46880 = 2⁵ × 5¹ × 293¹

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 46880

List of positive integer factors of 46880 that divides 46864 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 293, 586, 1172, 1465, 2344, 2930, 4688, 5860, 9376, 11720, 23440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46864 and 46880. The biggest common factor number is the GCF number.
So the greatest common factor 46864 and 46880 is 16.

Also check out the Least Common Multiple of 46864 and 46880