What is the Greatest Common Factor of 51714 and 51731?

Greatest common factor (GCF) of 51714 and 51731 is 17.

GCF(51714,51731) = 17

We will now calculate the prime factors of 51714 and 51731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51714 and 51731.

How to find the GCF of 51714 and 51731?

We will first find the prime factorization of 51714 and 51731. After we will calculate the factors of 51714 and 51731 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 51731

Prime factors of 51731 are 17, 179. Prime factorization of 51731 in exponential form is:

51731 = 17² × 179¹

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 51731

List of positive integer factors of 51731 that divides 51714 without a remainder.

1, 17, 179, 289, 3043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51714 and 51731. The biggest common factor number is the GCF number.
So the greatest common factor 51714 and 51731 is 17.

Also check out the Least Common Multiple of 51714 and 51731