What is the Greatest Common Factor of 51678 and 51687?

Greatest common factor (GCF) of 51678 and 51687 is 9.

GCF(51678,51687) = 9

We will now calculate the prime factors of 51678 and 51687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51678 and 51687.

How to find the GCF of 51678 and 51687?

We will first find the prime factorization of 51678 and 51687. After we will calculate the factors of 51678 and 51687 and find the biggest common factor number .

Step-1: Prime Factorization of 51678

Prime factors of 51678 are 2, 3, 11, 29. Prime factorization of 51678 in exponential form is:

51678 = 2¹ × 3⁴ × 11¹ × 29¹

Step-2: Prime Factorization of 51687

Prime factors of 51687 are 3, 5743. Prime factorization of 51687 in exponential form is:

51687 = 3² × 5743¹

Step-3: Factors of 51678

List of positive integer factors of 51678 that divides 51678 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 81, 87, 99, 162, 174, 198, 261, 297, 319, 522, 594, 638, 783, 891, 957, 1566, 1782, 1914, 2349, 2871, 4698, 5742, 8613, 17226, 25839

Step-4: Factors of 51687

List of positive integer factors of 51687 that divides 51678 without a remainder.

1, 3, 9, 5743, 17229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51678 and 51687. The biggest common factor number is the GCF number.
So the greatest common factor 51678 and 51687 is 9.

Also check out the Least Common Multiple of 51678 and 51687