What is the Greatest Common Factor of 56729 and 56739?

Greatest common factor (GCF) of 56729 and 56739 is 1.

GCF(56729,56739) = 1

We will now calculate the prime factors of 56729 and 56739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56729 and 56739.

How to find the GCF of 56729 and 56739?

We will first find the prime factorization of 56729 and 56739. After we will calculate the factors of 56729 and 56739 and find the biggest common factor number .

Step-1: Prime Factorization of 56729

Prime factors of 56729 are 17, 47, 71. Prime factorization of 56729 in exponential form is:

56729 = 17¹ × 47¹ × 71¹

Step-2: Prime Factorization of 56739

Prime factors of 56739 are 3, 18913. Prime factorization of 56739 in exponential form is:

56739 = 3¹ × 18913¹

Step-3: Factors of 56729

List of positive integer factors of 56729 that divides 56729 without a remainder.

1, 17, 47, 71, 799, 1207, 3337

Step-4: Factors of 56739

List of positive integer factors of 56739 that divides 56729 without a remainder.

1, 3, 18913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56729 and 56739. The biggest common factor number is the GCF number.
So the greatest common factor 56729 and 56739 is 1.

Also check out the Least Common Multiple of 56729 and 56739