What is the Greatest Common Factor of 51381 and 51399?

Greatest common factor (GCF) of 51381 and 51399 is 9.

GCF(51381,51399) = 9

We will now calculate the prime factors of 51381 and 51399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51381 and 51399.

How to find the GCF of 51381 and 51399?

We will first find the prime factorization of 51381 and 51399. After we will calculate the factors of 51381 and 51399 and find the biggest common factor number .

Step-1: Prime Factorization of 51381

Prime factors of 51381 are 3, 11, 173. Prime factorization of 51381 in exponential form is:

51381 = 3³ × 11¹ × 173¹

Step-2: Prime Factorization of 51399

Prime factors of 51399 are 3, 5711. Prime factorization of 51399 in exponential form is:

51399 = 3² × 5711¹

Step-3: Factors of 51381

List of positive integer factors of 51381 that divides 51381 without a remainder.

1, 3, 9, 11, 27, 33, 99, 173, 297, 519, 1557, 1903, 4671, 5709, 17127

Step-4: Factors of 51399

List of positive integer factors of 51399 that divides 51381 without a remainder.

1, 3, 9, 5711, 17133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51381 and 51399. The biggest common factor number is the GCF number.
So the greatest common factor 51381 and 51399 is 9.

Also check out the Least Common Multiple of 51381 and 51399