What is the Greatest Common Factor of 46017 and 46035?

Greatest common factor (GCF) of 46017 and 46035 is 9.

GCF(46017,46035) = 9

We will now calculate the prime factors of 46017 and 46035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46017 and 46035.

How to find the GCF of 46017 and 46035?

We will first find the prime factorization of 46017 and 46035. After we will calculate the factors of 46017 and 46035 and find the biggest common factor number .

Step-1: Prime Factorization of 46017

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

46017 = 3² × 5113¹

Step-2: Prime Factorization of 46035

Prime factors of 46035 are 3, 5, 11, 31. Prime factorization of 46035 in exponential form is:

46035 = 3³ × 5¹ × 11¹ × 31¹

Step-3: Factors of 46017

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

1, 3, 9, 5113, 15339

Step-4: Factors of 46035

List of positive integer factors of 46035 that divides 46017 without a remainder.

1, 3, 5, 9, 11, 15, 27, 31, 33, 45, 55, 93, 99, 135, 155, 165, 279, 297, 341, 465, 495, 837, 1023, 1395, 1485, 1705, 3069, 4185, 5115, 9207, 15345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46017 and 46035. The biggest common factor number is the GCF number.
So the greatest common factor 46017 and 46035 is 9.

Also check out the Least Common Multiple of 46017 and 46035