What is the Greatest Common Factor of 46917 and 46929?

Greatest common factor (GCF) of 46917 and 46929 is 3.

GCF(46917,46929) = 3

We will now calculate the prime factors of 46917 and 46929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46917 and 46929.

How to find the GCF of 46917 and 46929?

We will first find the prime factorization of 46917 and 46929. After we will calculate the factors of 46917 and 46929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46929

Prime factors of 46929 are 3, 15643. Prime factorization of 46929 in exponential form is:

46929 = 3¹ × 15643¹

Step-3: Factors of 46917

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

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

Step-4: Factors of 46929

List of positive integer factors of 46929 that divides 46917 without a remainder.

1, 3, 15643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46917 and 46929. The biggest common factor number is the GCF number.
So the greatest common factor 46917 and 46929 is 3.

Also check out the Least Common Multiple of 46917 and 46929