What is the Greatest Common Factor of 81730 and 81739?

Greatest common factor (GCF) of 81730 and 81739 is 1.

GCF(81730,81739) = 1

We will now calculate the prime factors of 81730 and 81739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81730 and 81739.

How to find the GCF of 81730 and 81739?

We will first find the prime factorization of 81730 and 81739. After we will calculate the factors of 81730 and 81739 and find the biggest common factor number .

Step-1: Prime Factorization of 81730

Prime factors of 81730 are 2, 5, 11, 743. Prime factorization of 81730 in exponential form is:

81730 = 2¹ × 5¹ × 11¹ × 743¹

Step-2: Prime Factorization of 81739

Prime factors of 81739 are 7, 11677. Prime factorization of 81739 in exponential form is:

81739 = 7¹ × 11677¹

Step-3: Factors of 81730

List of positive integer factors of 81730 that divides 81730 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 743, 1486, 3715, 7430, 8173, 16346, 40865

Step-4: Factors of 81739

List of positive integer factors of 81739 that divides 81730 without a remainder.

1, 7, 11677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81730 and 81739. The biggest common factor number is the GCF number.
So the greatest common factor 81730 and 81739 is 1.

Also check out the Least Common Multiple of 81730 and 81739