What is the Greatest Common Factor of 46323 and 46338?

Greatest common factor (GCF) of 46323 and 46338 is 3.

GCF(46323,46338) = 3

We will now calculate the prime factors of 46323 and 46338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46323 and 46338.

How to find the GCF of 46323 and 46338?

We will first find the prime factorization of 46323 and 46338. After we will calculate the factors of 46323 and 46338 and find the biggest common factor number .

Step-1: Prime Factorization of 46323

Prime factors of 46323 are 3, 5147. Prime factorization of 46323 in exponential form is:

46323 = 3² × 5147¹

Step-2: Prime Factorization of 46338

Prime factors of 46338 are 2, 3, 7723. Prime factorization of 46338 in exponential form is:

46338 = 2¹ × 3¹ × 7723¹

Step-3: Factors of 46323

List of positive integer factors of 46323 that divides 46323 without a remainder.

1, 3, 9, 5147, 15441

Step-4: Factors of 46338

List of positive integer factors of 46338 that divides 46323 without a remainder.

1, 2, 3, 6, 7723, 15446, 23169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46323 and 46338. The biggest common factor number is the GCF number.
So the greatest common factor 46323 and 46338 is 3.

Also check out the Least Common Multiple of 46323 and 46338