What is the Greatest Common Factor of 46029 and 46047?

Greatest common factor (GCF) of 46029 and 46047 is 3.

GCF(46029,46047) = 3

We will now calculate the prime factors of 46029 and 46047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46029 and 46047.

How to find the GCF of 46029 and 46047?

We will first find the prime factorization of 46029 and 46047. After we will calculate the factors of 46029 and 46047 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46047

Prime factors of 46047 are 3, 15349. Prime factorization of 46047 in exponential form is:

46047 = 3¹ × 15349¹

Step-3: Factors of 46029

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

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

Step-4: Factors of 46047

List of positive integer factors of 46047 that divides 46029 without a remainder.

1, 3, 15349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46029 and 46047. The biggest common factor number is the GCF number.
So the greatest common factor 46029 and 46047 is 3.

Also check out the Least Common Multiple of 46029 and 46047