What is the Greatest Common Factor of 46005 and 46011?

Greatest common factor (GCF) of 46005 and 46011 is 3.

GCF(46005,46011) = 3

We will now calculate the prime factors of 46005 and 46011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46005 and 46011.

How to find the GCF of 46005 and 46011?

We will first find the prime factorization of 46005 and 46011. After we will calculate the factors of 46005 and 46011 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 46011

Prime factors of 46011 are 3, 7, 313. Prime factorization of 46011 in exponential form is:

46011 = 3¹ × 7² × 313¹

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 46011

List of positive integer factors of 46011 that divides 46005 without a remainder.

1, 3, 7, 21, 49, 147, 313, 939, 2191, 6573, 15337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46005 and 46011. The biggest common factor number is the GCF number.
So the greatest common factor 46005 and 46011 is 3.

Also check out the Least Common Multiple of 46005 and 46011