What is the Greatest Common Factor of 46338 and 46353?

Greatest common factor (GCF) of 46338 and 46353 is 3.

GCF(46338,46353) = 3

We will now calculate the prime factors of 46338 and 46353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46338 and 46353.

How to find the GCF of 46338 and 46353?

We will first find the prime factorization of 46338 and 46353. After we will calculate the factors of 46338 and 46353 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 46353

Prime factors of 46353 are 3, 15451. Prime factorization of 46353 in exponential form is:

46353 = 3¹ × 15451¹

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 46353

List of positive integer factors of 46353 that divides 46338 without a remainder.

1, 3, 15451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46338 and 46353. The biggest common factor number is the GCF number.
So the greatest common factor 46338 and 46353 is 3.

Also check out the Least Common Multiple of 46338 and 46353