What is the Greatest Common Factor of 52911 and 52926?

Greatest common factor (GCF) of 52911 and 52926 is 3.

GCF(52911,52926) = 3

We will now calculate the prime factors of 52911 and 52926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52911 and 52926.

How to find the GCF of 52911 and 52926?

We will first find the prime factorization of 52911 and 52926. After we will calculate the factors of 52911 and 52926 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 52926

Prime factors of 52926 are 2, 3, 8821. Prime factorization of 52926 in exponential form is:

52926 = 2¹ × 3¹ × 8821¹

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 52926

List of positive integer factors of 52926 that divides 52911 without a remainder.

1, 2, 3, 6, 8821, 17642, 26463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52911 and 52926. The biggest common factor number is the GCF number.
So the greatest common factor 52911 and 52926 is 3.

Also check out the Least Common Multiple of 52911 and 52926