What is the Greatest Common Factor of 46893 and 46899?

Greatest common factor (GCF) of 46893 and 46899 is 3.

GCF(46893,46899) = 3

We will now calculate the prime factors of 46893 and 46899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46893 and 46899.

How to find the GCF of 46893 and 46899?

We will first find the prime factorization of 46893 and 46899. After we will calculate the factors of 46893 and 46899 and find the biggest common factor number .

Step-1: Prime Factorization of 46893

Prime factors of 46893 are 3, 7, 11, 29. Prime factorization of 46893 in exponential form is:

46893 = 3¹ × 7² × 11¹ × 29¹

Step-2: Prime Factorization of 46899

Prime factors of 46899 are 3, 193. Prime factorization of 46899 in exponential form is:

46899 = 3⁵ × 193¹

Step-3: Factors of 46893

List of positive integer factors of 46893 that divides 46893 without a remainder.

1, 3, 7, 11, 21, 29, 33, 49, 77, 87, 147, 203, 231, 319, 539, 609, 957, 1421, 1617, 2233, 4263, 6699, 15631

Step-4: Factors of 46899

List of positive integer factors of 46899 that divides 46893 without a remainder.

1, 3, 9, 27, 81, 193, 243, 579, 1737, 5211, 15633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46893 and 46899. The biggest common factor number is the GCF number.
So the greatest common factor 46893 and 46899 is 3.

Also check out the Least Common Multiple of 46893 and 46899