What is the Greatest Common Factor of 46328 and 46348?

Greatest common factor (GCF) of 46328 and 46348 is 4.

GCF(46328,46348) = 4

We will now calculate the prime factors of 46328 and 46348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46328 and 46348.

How to find the GCF of 46328 and 46348?

We will first find the prime factorization of 46328 and 46348. After we will calculate the factors of 46328 and 46348 and find the biggest common factor number .

Step-1: Prime Factorization of 46328

Prime factors of 46328 are 2, 5791. Prime factorization of 46328 in exponential form is:

46328 = 2³ × 5791¹

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 46328

List of positive integer factors of 46328 that divides 46328 without a remainder.

1, 2, 4, 8, 5791, 11582, 23164

Step-4: Factors of 46348

List of positive integer factors of 46348 that divides 46328 without a remainder.

1, 2, 4, 11587, 23174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46328 and 46348. The biggest common factor number is the GCF number.
So the greatest common factor 46328 and 46348 is 4.

Also check out the Least Common Multiple of 46328 and 46348