What is the Greatest Common Factor of 51667 and 51678?

Greatest common factor (GCF) of 51667 and 51678 is 11.

GCF(51667,51678) = 11

We will now calculate the prime factors of 51667 and 51678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51667 and 51678.

How to find the GCF of 51667 and 51678?

We will first find the prime factorization of 51667 and 51678. After we will calculate the factors of 51667 and 51678 and find the biggest common factor number .

Step-1: Prime Factorization of 51667

Prime factors of 51667 are 7, 11, 61. Prime factorization of 51667 in exponential form is:

51667 = 7¹ × 11² × 61¹

Step-2: 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-3: Factors of 51667

List of positive integer factors of 51667 that divides 51667 without a remainder.

1, 7, 11, 61, 77, 121, 427, 671, 847, 4697, 7381

Step-4: Factors of 51678

List of positive integer factors of 51678 that divides 51667 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51667 and 51678. The biggest common factor number is the GCF number.
So the greatest common factor 51667 and 51678 is 11.

Also check out the Least Common Multiple of 51667 and 51678