What is the Greatest Common Factor of 46065 and 46083?

Greatest common factor (GCF) of 46065 and 46083 is 3.

GCF(46065,46083) = 3

We will now calculate the prime factors of 46065 and 46083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46065 and 46083.

How to find the GCF of 46065 and 46083?

We will first find the prime factorization of 46065 and 46083. After we will calculate the factors of 46065 and 46083 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46083

Prime factors of 46083 are 3, 15361. Prime factorization of 46083 in exponential form is:

46083 = 3¹ × 15361¹

Step-3: Factors of 46065

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

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

Step-4: Factors of 46083

List of positive integer factors of 46083 that divides 46065 without a remainder.

1, 3, 15361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46065 and 46083. The biggest common factor number is the GCF number.
So the greatest common factor 46065 and 46083 is 3.

Also check out the Least Common Multiple of 46065 and 46083