What is the Greatest Common Factor of 51678 and 51690?

Greatest common factor (GCF) of 51678 and 51690 is 6.

GCF(51678,51690) = 6

We will now calculate the prime factors of 51678 and 51690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51678 and 51690.

How to find the GCF of 51678 and 51690?

We will first find the prime factorization of 51678 and 51690. After we will calculate the factors of 51678 and 51690 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 51690

Prime factors of 51690 are 2, 3, 5, 1723. Prime factorization of 51690 in exponential form is:

51690 = 2¹ × 3¹ × 5¹ × 1723¹

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 51690

List of positive integer factors of 51690 that divides 51678 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1723, 3446, 5169, 8615, 10338, 17230, 25845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51678 and 51690. The biggest common factor number is the GCF number.
So the greatest common factor 51678 and 51690 is 6.

Also check out the Least Common Multiple of 51678 and 51690