What is the Greatest Common Factor of 51777 and 51789?

Greatest common factor (GCF) of 51777 and 51789 is 3.

GCF(51777,51789) = 3

We will now calculate the prime factors of 51777 and 51789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51777 and 51789.

How to find the GCF of 51777 and 51789?

We will first find the prime factorization of 51777 and 51789. After we will calculate the factors of 51777 and 51789 and find the biggest common factor number .

Step-1: Prime Factorization of 51777

Prime factors of 51777 are 3, 11, 523. Prime factorization of 51777 in exponential form is:

51777 = 3² × 11¹ × 523¹

Step-2: 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-3: Factors of 51777

List of positive integer factors of 51777 that divides 51777 without a remainder.

1, 3, 9, 11, 33, 99, 523, 1569, 4707, 5753, 17259

Step-4: Factors of 51789

List of positive integer factors of 51789 that divides 51777 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51777 and 51789. The biggest common factor number is the GCF number.
So the greatest common factor 51777 and 51789 is 3.

Also check out the Least Common Multiple of 51777 and 51789