What is the Greatest Common Factor of 46065 and 46077?

Greatest common factor (GCF) of 46065 and 46077 is 3.

GCF(46065,46077) = 3

We will now calculate the prime factors of 46065 and 46077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46065 and 46077.

How to find the GCF of 46065 and 46077?

We will first find the prime factorization of 46065 and 46077. After we will calculate the factors of 46065 and 46077 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 46077

Prime factors of 46077 are 3, 15359. Prime factorization of 46077 in exponential form is:

46077 = 3¹ × 15359¹

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 46077

List of positive integer factors of 46077 that divides 46065 without a remainder.

1, 3, 15359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46065 and 46077. The biggest common factor number is the GCF number.
So the greatest common factor 46065 and 46077 is 3.

Also check out the Least Common Multiple of 46065 and 46077