What is the Greatest Common Factor of 46833 and 46851?

Greatest common factor (GCF) of 46833 and 46851 is 3.

GCF(46833,46851) = 3

We will now calculate the prime factors of 46833 and 46851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46833 and 46851.

How to find the GCF of 46833 and 46851?

We will first find the prime factorization of 46833 and 46851. After we will calculate the factors of 46833 and 46851 and find the biggest common factor number .

Step-1: Prime Factorization of 46833

Prime factors of 46833 are 3, 67, 233. Prime factorization of 46833 in exponential form is:

46833 = 3¹ × 67¹ × 233¹

Step-2: Prime Factorization of 46851

Prime factors of 46851 are 3, 7, 23, 97. Prime factorization of 46851 in exponential form is:

46851 = 3¹ × 7¹ × 23¹ × 97¹

Step-3: Factors of 46833

List of positive integer factors of 46833 that divides 46833 without a remainder.

1, 3, 67, 201, 233, 699, 15611

Step-4: Factors of 46851

List of positive integer factors of 46851 that divides 46833 without a remainder.

1, 3, 7, 21, 23, 69, 97, 161, 291, 483, 679, 2037, 2231, 6693, 15617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46833 and 46851. The biggest common factor number is the GCF number.
So the greatest common factor 46833 and 46851 is 3.

Also check out the Least Common Multiple of 46833 and 46851