What is the Greatest Common Factor of 51714 and 51732?

Greatest common factor (GCF) of 51714 and 51732 is 18.

GCF(51714,51732) = 18

We will now calculate the prime factors of 51714 and 51732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51714 and 51732.

How to find the GCF of 51714 and 51732?

We will first find the prime factorization of 51714 and 51732. After we will calculate the factors of 51714 and 51732 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 51732

Prime factors of 51732 are 2, 3, 479. Prime factorization of 51732 in exponential form is:

51732 = 2² × 3³ × 479¹

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 51732

List of positive integer factors of 51732 that divides 51714 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 479, 958, 1437, 1916, 2874, 4311, 5748, 8622, 12933, 17244, 25866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51714 and 51732. The biggest common factor number is the GCF number.
So the greatest common factor 51714 and 51732 is 18.

Also check out the Least Common Multiple of 51714 and 51732