What is the Greatest Common Factor of 34731 and 34739?

Greatest common factor (GCF) of 34731 and 34739 is 1.

GCF(34731,34739) = 1

We will now calculate the prime factors of 34731 and 34739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34731 and 34739.

How to find the GCF of 34731 and 34739?

We will first find the prime factorization of 34731 and 34739. After we will calculate the factors of 34731 and 34739 and find the biggest common factor number .

Step-1: Prime Factorization of 34731

Prime factors of 34731 are 3, 17, 227. Prime factorization of 34731 in exponential form is:

34731 = 3² × 17¹ × 227¹

Step-2: Prime Factorization of 34739

Prime factors of 34739 are 34739. Prime factorization of 34739 in exponential form is:

34739 = 34739¹

Step-3: Factors of 34731

List of positive integer factors of 34731 that divides 34731 without a remainder.

1, 3, 9, 17, 51, 153, 227, 681, 2043, 3859, 11577

Step-4: Factors of 34739

List of positive integer factors of 34739 that divides 34731 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34731 and 34739. The biggest common factor number is the GCF number.
So the greatest common factor 34731 and 34739 is 1.

Also check out the Least Common Multiple of 34731 and 34739