What is the Greatest Common Factor of 46089 and 46095?

Greatest common factor (GCF) of 46089 and 46095 is 3.

GCF(46089,46095) = 3

We will now calculate the prime factors of 46089 and 46095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46089 and 46095.

How to find the GCF of 46089 and 46095?

We will first find the prime factorization of 46089 and 46095. After we will calculate the factors of 46089 and 46095 and find the biggest common factor number .

Step-1: Prime Factorization of 46089

Prime factors of 46089 are 3, 569. Prime factorization of 46089 in exponential form is:

46089 = 3⁴ × 569¹

Step-2: Prime Factorization of 46095

Prime factors of 46095 are 3, 5, 7, 439. Prime factorization of 46095 in exponential form is:

46095 = 3¹ × 5¹ × 7¹ × 439¹

Step-3: Factors of 46089

List of positive integer factors of 46089 that divides 46089 without a remainder.

1, 3, 9, 27, 81, 569, 1707, 5121, 15363

Step-4: Factors of 46095

List of positive integer factors of 46095 that divides 46089 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 439, 1317, 2195, 3073, 6585, 9219, 15365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46089 and 46095. The biggest common factor number is the GCF number.
So the greatest common factor 46089 and 46095 is 3.

Also check out the Least Common Multiple of 46089 and 46095