What is the Greatest Common Factor of 51789 and 51809?

Greatest common factor (GCF) of 51789 and 51809 is 1.

GCF(51789,51809) = 1

We will now calculate the prime factors of 51789 and 51809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51789 and 51809.

How to find the GCF of 51789 and 51809?

We will first find the prime factorization of 51789 and 51809. After we will calculate the factors of 51789 and 51809 and find the biggest common factor number .

Step-1: Prime Factorization of 51789

Prime factors of 51789 are 3, 61, 283. Prime factorization of 51789 in exponential form is:

51789 = 3¹ × 61¹ × 283¹

Step-2: Prime Factorization of 51809

Prime factors of 51809 are 103, 503. Prime factorization of 51809 in exponential form is:

51809 = 103¹ × 503¹

Step-3: Factors of 51789

List of positive integer factors of 51789 that divides 51789 without a remainder.

1, 3, 61, 183, 283, 849, 17263

Step-4: Factors of 51809

List of positive integer factors of 51809 that divides 51789 without a remainder.

1, 103, 503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51789 and 51809. The biggest common factor number is the GCF number.
So the greatest common factor 51789 and 51809 is 1.

Also check out the Least Common Multiple of 51789 and 51809