What is the Greatest Common Factor of 46239 and 46257?

Greatest common factor (GCF) of 46239 and 46257 is 3.

GCF(46239,46257) = 3

We will now calculate the prime factors of 46239 and 46257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46239 and 46257.

How to find the GCF of 46239 and 46257?

We will first find the prime factorization of 46239 and 46257. After we will calculate the factors of 46239 and 46257 and find the biggest common factor number .

Step-1: Prime Factorization of 46239

Prime factors of 46239 are 3, 15413. Prime factorization of 46239 in exponential form is:

46239 = 3¹ × 15413¹

Step-2: Prime Factorization of 46257

Prime factors of 46257 are 3, 17, 907. Prime factorization of 46257 in exponential form is:

46257 = 3¹ × 17¹ × 907¹

Step-3: Factors of 46239

List of positive integer factors of 46239 that divides 46239 without a remainder.

1, 3, 15413

Step-4: Factors of 46257

List of positive integer factors of 46257 that divides 46239 without a remainder.

1, 3, 17, 51, 907, 2721, 15419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46239 and 46257. The biggest common factor number is the GCF number.
So the greatest common factor 46239 and 46257 is 3.

Also check out the Least Common Multiple of 46239 and 46257