What is the Greatest Common Factor of 46338 and 46356?

Greatest common factor (GCF) of 46338 and 46356 is 6.

GCF(46338,46356) = 6

We will now calculate the prime factors of 46338 and 46356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46338 and 46356.

How to find the GCF of 46338 and 46356?

We will first find the prime factorization of 46338 and 46356. After we will calculate the factors of 46338 and 46356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46356

Prime factors of 46356 are 2, 3, 3863. Prime factorization of 46356 in exponential form is:

46356 = 2² × 3¹ × 3863¹

Step-3: Factors of 46338

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

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

Step-4: Factors of 46356

List of positive integer factors of 46356 that divides 46338 without a remainder.

1, 2, 3, 4, 6, 12, 3863, 7726, 11589, 15452, 23178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46338 and 46356. The biggest common factor number is the GCF number.
So the greatest common factor 46338 and 46356 is 6.

Also check out the Least Common Multiple of 46338 and 46356