What is the Greatest Common Factor of 81716 and 81730?

Greatest common factor (GCF) of 81716 and 81730 is 2.

GCF(81716,81730) = 2

We will now calculate the prime factors of 81716 and 81730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81716 and 81730.

How to find the GCF of 81716 and 81730?

We will first find the prime factorization of 81716 and 81730. After we will calculate the factors of 81716 and 81730 and find the biggest common factor number .

Step-1: Prime Factorization of 81716

Prime factors of 81716 are 2, 31, 659. Prime factorization of 81716 in exponential form is:

81716 = 2² × 31¹ × 659¹

Step-2: 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-3: Factors of 81716

List of positive integer factors of 81716 that divides 81716 without a remainder.

1, 2, 4, 31, 62, 124, 659, 1318, 2636, 20429, 40858

Step-4: Factors of 81730

List of positive integer factors of 81730 that divides 81716 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81716 and 81730. The biggest common factor number is the GCF number.
So the greatest common factor 81716 and 81730 is 2.

Also check out the Least Common Multiple of 81716 and 81730