What is the Greatest Common Factor of 46194 and 46212?

Greatest common factor (GCF) of 46194 and 46212 is 6.

GCF(46194,46212) = 6

We will now calculate the prime factors of 46194 and 46212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46194 and 46212.

How to find the GCF of 46194 and 46212?

We will first find the prime factorization of 46194 and 46212. After we will calculate the factors of 46194 and 46212 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46212

Prime factors of 46212 are 2, 3, 3851. Prime factorization of 46212 in exponential form is:

46212 = 2² × 3¹ × 3851¹

Step-3: Factors of 46194

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

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

Step-4: Factors of 46212

List of positive integer factors of 46212 that divides 46194 without a remainder.

1, 2, 3, 4, 6, 12, 3851, 7702, 11553, 15404, 23106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46194 and 46212. The biggest common factor number is the GCF number.
So the greatest common factor 46194 and 46212 is 6.

Also check out the Least Common Multiple of 46194 and 46212