What is the Greatest Common Factor of 81719 and 81730?

Greatest common factor (GCF) of 81719 and 81730 is 11.

GCF(81719,81730) = 11

We will now calculate the prime factors of 81719 and 81730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81719 and 81730.

How to find the GCF of 81719 and 81730?

We will first find the prime factorization of 81719 and 81730. After we will calculate the factors of 81719 and 81730 and find the biggest common factor number .

Step-1: Prime Factorization of 81719

Prime factors of 81719 are 11, 17, 19, 23. Prime factorization of 81719 in exponential form is:

81719 = 11¹ × 17¹ × 19¹ × 23¹

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 81719

List of positive integer factors of 81719 that divides 81719 without a remainder.

1, 11, 17, 19, 23, 187, 209, 253, 323, 391, 437, 3553, 4301, 4807, 7429

Step-4: Factors of 81730

List of positive integer factors of 81730 that divides 81719 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 81719 and 81730. The biggest common factor number is the GCF number.
So the greatest common factor 81719 and 81730 is 11.

Also check out the Least Common Multiple of 81719 and 81730