What is the Greatest Common Factor of 46059 and 46065?

Greatest common factor (GCF) of 46059 and 46065 is 3.

GCF(46059,46065) = 3

We will now calculate the prime factors of 46059 and 46065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46059 and 46065.

How to find the GCF of 46059 and 46065?

We will first find the prime factorization of 46059 and 46065. After we will calculate the factors of 46059 and 46065 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 46065

Prime factors of 46065 are 3, 5, 37, 83. Prime factorization of 46065 in exponential form is:

46065 = 3¹ × 5¹ × 37¹ × 83¹

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 46065

List of positive integer factors of 46065 that divides 46059 without a remainder.

1, 3, 5, 15, 37, 83, 111, 185, 249, 415, 555, 1245, 3071, 9213, 15355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46059 and 46065. The biggest common factor number is the GCF number.
So the greatest common factor 46059 and 46065 is 3.

Also check out the Least Common Multiple of 46059 and 46065