What is the Greatest Common Factor of 46188 and 46194?

Greatest common factor (GCF) of 46188 and 46194 is 6.

GCF(46188,46194) = 6

We will now calculate the prime factors of 46188 and 46194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46188 and 46194.

How to find the GCF of 46188 and 46194?

We will first find the prime factorization of 46188 and 46194. After we will calculate the factors of 46188 and 46194 and find the biggest common factor number .

Step-1: Prime Factorization of 46188

Prime factors of 46188 are 2, 3, 1283. Prime factorization of 46188 in exponential form is:

46188 = 2² × 3² × 1283¹

Step-2: Prime Factorization of 46194

Prime factors of 46194 are 2, 3, 7699. Prime factorization of 46194 in exponential form is:

46194 = 2¹ × 3¹ × 7699¹

Step-3: Factors of 46188

List of positive integer factors of 46188 that divides 46188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1283, 2566, 3849, 5132, 7698, 11547, 15396, 23094

Step-4: Factors of 46194

List of positive integer factors of 46194 that divides 46188 without a remainder.

1, 2, 3, 6, 7699, 15398, 23097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46188 and 46194. The biggest common factor number is the GCF number.
So the greatest common factor 46188 and 46194 is 6.

Also check out the Least Common Multiple of 46188 and 46194