What is the Greatest Common Factor of 51759 and 51777?

Greatest common factor (GCF) of 51759 and 51777 is 9.

GCF(51759,51777) = 9

We will now calculate the prime factors of 51759 and 51777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51759 and 51777.

How to find the GCF of 51759 and 51777?

We will first find the prime factorization of 51759 and 51777. After we will calculate the factors of 51759 and 51777 and find the biggest common factor number .

Step-1: Prime Factorization of 51759

Prime factors of 51759 are 3, 71. Prime factorization of 51759 in exponential form is:

51759 = 3⁶ × 71¹

Step-2: 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-3: Factors of 51759

List of positive integer factors of 51759 that divides 51759 without a remainder.

1, 3, 9, 27, 71, 81, 213, 243, 639, 729, 1917, 5751, 17253

Step-4: Factors of 51777

List of positive integer factors of 51777 that divides 51759 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51759 and 51777. The biggest common factor number is the GCF number.
So the greatest common factor 51759 and 51777 is 9.

Also check out the Least Common Multiple of 51759 and 51777