What is the Greatest Common Factor of 46017 and 46029?

Greatest common factor (GCF) of 46017 and 46029 is 3.

GCF(46017,46029) = 3

We will now calculate the prime factors of 46017 and 46029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46017 and 46029.

How to find the GCF of 46017 and 46029?

We will first find the prime factorization of 46017 and 46029. After we will calculate the factors of 46017 and 46029 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 46029

Prime factors of 46029 are 3, 67, 229. Prime factorization of 46029 in exponential form is:

46029 = 3¹ × 67¹ × 229¹

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 46029

List of positive integer factors of 46029 that divides 46017 without a remainder.

1, 3, 67, 201, 229, 687, 15343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46017 and 46029. The biggest common factor number is the GCF number.
So the greatest common factor 46017 and 46029 is 3.

Also check out the Least Common Multiple of 46017 and 46029