What is the Greatest Common Factor of 46059 and 46072?

Greatest common factor (GCF) of 46059 and 46072 is 13.

GCF(46059,46072) = 13

We will now calculate the prime factors of 46059 and 46072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46059 and 46072.

How to find the GCF of 46059 and 46072?

We will first find the prime factorization of 46059 and 46072. After we will calculate the factors of 46059 and 46072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46072

Prime factors of 46072 are 2, 13, 443. Prime factorization of 46072 in exponential form is:

46072 = 2³ × 13¹ × 443¹

Step-3: Factors of 46059

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

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

Step-4: Factors of 46072

List of positive integer factors of 46072 that divides 46059 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 443, 886, 1772, 3544, 5759, 11518, 23036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46059 and 46072. The biggest common factor number is the GCF number.
So the greatest common factor 46059 and 46072 is 13.

Also check out the Least Common Multiple of 46059 and 46072