What is the Greatest Common Factor of 46899 and 46905?

Greatest common factor (GCF) of 46899 and 46905 is 3.

GCF(46899,46905) = 3

We will now calculate the prime factors of 46899 and 46905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46899 and 46905.

How to find the GCF of 46899 and 46905?

We will first find the prime factorization of 46899 and 46905. After we will calculate the factors of 46899 and 46905 and find the biggest common factor number .

Step-1: Prime Factorization of 46899

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

46899 = 3⁵ × 193¹

Step-2: Prime Factorization of 46905

Prime factors of 46905 are 3, 5, 53, 59. Prime factorization of 46905 in exponential form is:

46905 = 3¹ × 5¹ × 53¹ × 59¹

Step-3: Factors of 46899

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

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

Step-4: Factors of 46905

List of positive integer factors of 46905 that divides 46899 without a remainder.

1, 3, 5, 15, 53, 59, 159, 177, 265, 295, 795, 885, 3127, 9381, 15635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46899 and 46905. The biggest common factor number is the GCF number.
So the greatest common factor 46899 and 46905 is 3.

Also check out the Least Common Multiple of 46899 and 46905