What is the Greatest Common Factor of 51745 and 51759?

Greatest common factor (GCF) of 51745 and 51759 is 1.

GCF(51745,51759) = 1

We will now calculate the prime factors of 51745 and 51759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51745 and 51759.

How to find the GCF of 51745 and 51759?

We will first find the prime factorization of 51745 and 51759. After we will calculate the factors of 51745 and 51759 and find the biggest common factor number .

Step-1: Prime Factorization of 51745

Prime factors of 51745 are 5, 79, 131. Prime factorization of 51745 in exponential form is:

51745 = 5¹ × 79¹ × 131¹

Step-2: Prime Factorization of 51759

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

51759 = 3⁶ × 71¹

Step-3: Factors of 51745

List of positive integer factors of 51745 that divides 51745 without a remainder.

1, 5, 79, 131, 395, 655, 10349

Step-4: Factors of 51759

List of positive integer factors of 51759 that divides 51745 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51745 and 51759. The biggest common factor number is the GCF number.
So the greatest common factor 51745 and 51759 is 1.

Also check out the Least Common Multiple of 51745 and 51759