What is the Greatest Common Factor of 51714 and 51723?

Greatest common factor (GCF) of 51714 and 51723 is 9.

GCF(51714,51723) = 9

We will now calculate the prime factors of 51714 and 51723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51714 and 51723.

How to find the GCF of 51714 and 51723?

We will first find the prime factorization of 51714 and 51723. After we will calculate the factors of 51714 and 51723 and find the biggest common factor number .

Step-1: Prime Factorization of 51714

Prime factors of 51714 are 2, 3, 13, 17. Prime factorization of 51714 in exponential form is:

51714 = 2¹ × 3² × 13² × 17¹

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 51714

List of positive integer factors of 51714 that divides 51714 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 169, 221, 234, 306, 338, 442, 507, 663, 1014, 1326, 1521, 1989, 2873, 3042, 3978, 5746, 8619, 17238, 25857

Step-4: Factors of 51723

List of positive integer factors of 51723 that divides 51714 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 51714 and 51723. The biggest common factor number is the GCF number.
So the greatest common factor 51714 and 51723 is 9.

Also check out the Least Common Multiple of 51714 and 51723