What is the Greatest Common Factor of 46334 and 46348?

Greatest common factor (GCF) of 46334 and 46348 is 2.

GCF(46334,46348) = 2

We will now calculate the prime factors of 46334 and 46348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46334 and 46348.

How to find the GCF of 46334 and 46348?

We will first find the prime factorization of 46334 and 46348. After we will calculate the factors of 46334 and 46348 and find the biggest common factor number .

Step-1: Prime Factorization of 46334

Prime factors of 46334 are 2, 23167. Prime factorization of 46334 in exponential form is:

46334 = 2¹ × 23167¹

Step-2: Prime Factorization of 46348

Prime factors of 46348 are 2, 11587. Prime factorization of 46348 in exponential form is:

46348 = 2² × 11587¹

Step-3: Factors of 46334

List of positive integer factors of 46334 that divides 46334 without a remainder.

1, 2, 23167

Step-4: Factors of 46348

List of positive integer factors of 46348 that divides 46334 without a remainder.

1, 2, 4, 11587, 23174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46334 and 46348. The biggest common factor number is the GCF number.
So the greatest common factor 46334 and 46348 is 2.

Also check out the Least Common Multiple of 46334 and 46348