What is the Greatest Common Factor of 46095 and 46113?

Greatest common factor (GCF) of 46095 and 46113 is 3.

GCF(46095,46113) = 3

We will now calculate the prime factors of 46095 and 46113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46095 and 46113.

How to find the GCF of 46095 and 46113?

We will first find the prime factorization of 46095 and 46113. After we will calculate the factors of 46095 and 46113 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46113

Prime factors of 46113 are 3, 19, 809. Prime factorization of 46113 in exponential form is:

46113 = 3¹ × 19¹ × 809¹

Step-3: Factors of 46095

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

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

Step-4: Factors of 46113

List of positive integer factors of 46113 that divides 46095 without a remainder.

1, 3, 19, 57, 809, 2427, 15371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46095 and 46113. The biggest common factor number is the GCF number.
So the greatest common factor 46095 and 46113 is 3.

Also check out the Least Common Multiple of 46095 and 46113