What is the Greatest Common Factor of 46044 and 46059?

Greatest common factor (GCF) of 46044 and 46059 is 3.

GCF(46044,46059) = 3

We will now calculate the prime factors of 46044 and 46059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46044 and 46059.

How to find the GCF of 46044 and 46059?

We will first find the prime factorization of 46044 and 46059. After we will calculate the factors of 46044 and 46059 and find the biggest common factor number .

Step-1: Prime Factorization of 46044

Prime factors of 46044 are 2, 3, 1279. Prime factorization of 46044 in exponential form is:

46044 = 2² × 3² × 1279¹

Step-2: Prime Factorization of 46059

Prime factors of 46059 are 3, 13, 1181. Prime factorization of 46059 in exponential form is:

46059 = 3¹ × 13¹ × 1181¹

Step-3: Factors of 46044

List of positive integer factors of 46044 that divides 46044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1279, 2558, 3837, 5116, 7674, 11511, 15348, 23022

Step-4: Factors of 46059

List of positive integer factors of 46059 that divides 46044 without a remainder.

1, 3, 13, 39, 1181, 3543, 15353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46044 and 46059. The biggest common factor number is the GCF number.
So the greatest common factor 46044 and 46059 is 3.

Also check out the Least Common Multiple of 46044 and 46059