What is the Greatest Common Factor of 46148 and 46166?

Greatest common factor (GCF) of 46148 and 46166 is 2.

GCF(46148,46166) = 2

We will now calculate the prime factors of 46148 and 46166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46148 and 46166.

How to find the GCF of 46148 and 46166?

We will first find the prime factorization of 46148 and 46166. After we will calculate the factors of 46148 and 46166 and find the biggest common factor number .

Step-1: Prime Factorization of 46148

Prime factors of 46148 are 2, 83, 139. Prime factorization of 46148 in exponential form is:

46148 = 2² × 83¹ × 139¹

Step-2: Prime Factorization of 46166

Prime factors of 46166 are 2, 41, 563. Prime factorization of 46166 in exponential form is:

46166 = 2¹ × 41¹ × 563¹

Step-3: Factors of 46148

List of positive integer factors of 46148 that divides 46148 without a remainder.

1, 2, 4, 83, 139, 166, 278, 332, 556, 11537, 23074

Step-4: Factors of 46166

List of positive integer factors of 46166 that divides 46148 without a remainder.

1, 2, 41, 82, 563, 1126, 23083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46148 and 46166. The biggest common factor number is the GCF number.
So the greatest common factor 46148 and 46166 is 2.

Also check out the Least Common Multiple of 46148 and 46166