What is the Greatest Common Factor of 46005 and 46017?

Greatest common factor (GCF) of 46005 and 46017 is 3.

GCF(46005,46017) = 3

We will now calculate the prime factors of 46005 and 46017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46005 and 46017.

How to find the GCF of 46005 and 46017?

We will first find the prime factorization of 46005 and 46017. After we will calculate the factors of 46005 and 46017 and find the biggest common factor number .

Step-1: Prime Factorization of 46005

Prime factors of 46005 are 3, 5, 3067. Prime factorization of 46005 in exponential form is:

46005 = 3¹ × 5¹ × 3067¹

Step-2: Prime Factorization of 46017

Prime factors of 46017 are 3, 5113. Prime factorization of 46017 in exponential form is:

46017 = 3² × 5113¹

Step-3: Factors of 46005

List of positive integer factors of 46005 that divides 46005 without a remainder.

1, 3, 5, 15, 3067, 9201, 15335

Step-4: Factors of 46017

List of positive integer factors of 46017 that divides 46005 without a remainder.

1, 3, 9, 5113, 15339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46005 and 46017. The biggest common factor number is the GCF number.
So the greatest common factor 46005 and 46017 is 3.

Also check out the Least Common Multiple of 46005 and 46017