What is the Greatest Common Factor of 46191 and 46206?

Greatest common factor (GCF) of 46191 and 46206 is 3.

GCF(46191,46206) = 3

We will now calculate the prime factors of 46191 and 46206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46191 and 46206.

How to find the GCF of 46191 and 46206?

We will first find the prime factorization of 46191 and 46206. After we will calculate the factors of 46191 and 46206 and find the biggest common factor number .

Step-1: Prime Factorization of 46191

Prime factors of 46191 are 3, 89, 173. Prime factorization of 46191 in exponential form is:

46191 = 3¹ × 89¹ × 173¹

Step-2: Prime Factorization of 46206

Prime factors of 46206 are 2, 3, 17, 151. Prime factorization of 46206 in exponential form is:

46206 = 2¹ × 3² × 17¹ × 151¹

Step-3: Factors of 46191

List of positive integer factors of 46191 that divides 46191 without a remainder.

1, 3, 89, 173, 267, 519, 15397

Step-4: Factors of 46206

List of positive integer factors of 46206 that divides 46191 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 151, 153, 302, 306, 453, 906, 1359, 2567, 2718, 5134, 7701, 15402, 23103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46191 and 46206. The biggest common factor number is the GCF number.
So the greatest common factor 46191 and 46206 is 3.

Also check out the Least Common Multiple of 46191 and 46206