What is the Greatest Common Factor of 46905 and 46917?

Greatest common factor (GCF) of 46905 and 46917 is 3.

GCF(46905,46917) = 3

We will now calculate the prime factors of 46905 and 46917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46905 and 46917.

How to find the GCF of 46905 and 46917?

We will first find the prime factorization of 46905 and 46917. After we will calculate the factors of 46905 and 46917 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46917

Prime factors of 46917 are 3, 13, 401. Prime factorization of 46917 in exponential form is:

46917 = 3² × 13¹ × 401¹

Step-3: Factors of 46905

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

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

Step-4: Factors of 46917

List of positive integer factors of 46917 that divides 46905 without a remainder.

1, 3, 9, 13, 39, 117, 401, 1203, 3609, 5213, 15639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46905 and 46917. The biggest common factor number is the GCF number.
So the greatest common factor 46905 and 46917 is 3.

Also check out the Least Common Multiple of 46905 and 46917