What is the Greatest Common Factor of 52911 and 52923?

Greatest common factor (GCF) of 52911 and 52923 is 3.

GCF(52911,52923) = 3

We will now calculate the prime factors of 52911 and 52923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52911 and 52923.

How to find the GCF of 52911 and 52923?

We will first find the prime factorization of 52911 and 52923. After we will calculate the factors of 52911 and 52923 and find the biggest common factor number .

Step-1: Prime Factorization of 52911

Prime factors of 52911 are 3, 5879. Prime factorization of 52911 in exponential form is:

52911 = 3² × 5879¹

Step-2: Prime Factorization of 52923

Prime factors of 52923 are 3, 13, 23, 59. Prime factorization of 52923 in exponential form is:

52923 = 3¹ × 13¹ × 23¹ × 59¹

Step-3: Factors of 52911

List of positive integer factors of 52911 that divides 52911 without a remainder.

1, 3, 9, 5879, 17637

Step-4: Factors of 52923

List of positive integer factors of 52923 that divides 52911 without a remainder.

1, 3, 13, 23, 39, 59, 69, 177, 299, 767, 897, 1357, 2301, 4071, 17641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52911 and 52923. The biggest common factor number is the GCF number.
So the greatest common factor 52911 and 52923 is 3.

Also check out the Least Common Multiple of 52911 and 52923