What is the Greatest Common Factor of 46185 and 46197?

Greatest common factor (GCF) of 46185 and 46197 is 3.

GCF(46185,46197) = 3

We will now calculate the prime factors of 46185 and 46197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46185 and 46197.

How to find the GCF of 46185 and 46197?

We will first find the prime factorization of 46185 and 46197. After we will calculate the factors of 46185 and 46197 and find the biggest common factor number .

Step-1: Prime Factorization of 46185

Prime factors of 46185 are 3, 5, 3079. Prime factorization of 46185 in exponential form is:

46185 = 3¹ × 5¹ × 3079¹

Step-2: Prime Factorization of 46197

Prime factors of 46197 are 3, 29, 59. Prime factorization of 46197 in exponential form is:

46197 = 3³ × 29¹ × 59¹

Step-3: Factors of 46185

List of positive integer factors of 46185 that divides 46185 without a remainder.

1, 3, 5, 15, 3079, 9237, 15395

Step-4: Factors of 46197

List of positive integer factors of 46197 that divides 46185 without a remainder.

1, 3, 9, 27, 29, 59, 87, 177, 261, 531, 783, 1593, 1711, 5133, 15399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46185 and 46197. The biggest common factor number is the GCF number.
So the greatest common factor 46185 and 46197 is 3.

Also check out the Least Common Multiple of 46185 and 46197