What is the Greatest Common Factor of 51789 and 51795?

Greatest common factor (GCF) of 51789 and 51795 is 3.

GCF(51789,51795) = 3

We will now calculate the prime factors of 51789 and 51795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51789 and 51795.

How to find the GCF of 51789 and 51795?

We will first find the prime factorization of 51789 and 51795. After we will calculate the factors of 51789 and 51795 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 51795

Prime factors of 51795 are 3, 5, 1151. Prime factorization of 51795 in exponential form is:

51795 = 3² × 5¹ × 1151¹

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 51795

List of positive integer factors of 51795 that divides 51789 without a remainder.

1, 3, 5, 9, 15, 45, 1151, 3453, 5755, 10359, 17265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51789 and 51795. The biggest common factor number is the GCF number.
So the greatest common factor 51789 and 51795 is 3.

Also check out the Least Common Multiple of 51789 and 51795