What is the Greatest Common Factor of 51739 and 51745?

Greatest common factor (GCF) of 51739 and 51745 is 1.

GCF(51739,51745) = 1

We will now calculate the prime factors of 51739 and 51745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51739 and 51745.

How to find the GCF of 51739 and 51745?

We will first find the prime factorization of 51739 and 51745. After we will calculate the factors of 51739 and 51745 and find the biggest common factor number .

Step-1: Prime Factorization of 51739

Prime factors of 51739 are 31, 1669. Prime factorization of 51739 in exponential form is:

51739 = 31¹ × 1669¹

Step-2: 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-3: Factors of 51739

List of positive integer factors of 51739 that divides 51739 without a remainder.

1, 31, 1669

Step-4: Factors of 51745

List of positive integer factors of 51745 that divides 51739 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51739 and 51745. The biggest common factor number is the GCF number.
So the greatest common factor 51739 and 51745 is 1.

Also check out the Least Common Multiple of 51739 and 51745