What is the Greatest Common Factor of 51759 and 51775?

Greatest common factor (GCF) of 51759 and 51775 is 1.

GCF(51759,51775) = 1

We will now calculate the prime factors of 51759 and 51775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51759 and 51775.

How to find the GCF of 51759 and 51775?

We will first find the prime factorization of 51759 and 51775. After we will calculate the factors of 51759 and 51775 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 51775

Prime factors of 51775 are 5, 19, 109. Prime factorization of 51775 in exponential form is:

51775 = 5² × 19¹ × 109¹

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 51775

List of positive integer factors of 51775 that divides 51759 without a remainder.

1, 5, 19, 25, 95, 109, 475, 545, 2071, 2725, 10355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51759 and 51775. The biggest common factor number is the GCF number.
So the greatest common factor 51759 and 51775 is 1.

Also check out the Least Common Multiple of 51759 and 51775