What is the Greatest Common Factor of 51711 and 51723?

Greatest common factor (GCF) of 51711 and 51723 is 3.

GCF(51711,51723) = 3

We will now calculate the prime factors of 51711 and 51723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51711 and 51723.

How to find the GCF of 51711 and 51723?

We will first find the prime factorization of 51711 and 51723. After we will calculate the factors of 51711 and 51723 and find the biggest common factor number .

Step-1: Prime Factorization of 51711

Prime factors of 51711 are 3, 11, 1567. Prime factorization of 51711 in exponential form is:

51711 = 3¹ × 11¹ × 1567¹

Step-2: Prime Factorization of 51723

Prime factors of 51723 are 3, 7, 821. Prime factorization of 51723 in exponential form is:

51723 = 3² × 7¹ × 821¹

Step-3: Factors of 51711

List of positive integer factors of 51711 that divides 51711 without a remainder.

1, 3, 11, 33, 1567, 4701, 17237

Step-4: Factors of 51723

List of positive integer factors of 51723 that divides 51711 without a remainder.

1, 3, 7, 9, 21, 63, 821, 2463, 5747, 7389, 17241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51711 and 51723. The biggest common factor number is the GCF number.
So the greatest common factor 51711 and 51723 is 3.

Also check out the Least Common Multiple of 51711 and 51723