What is the Greatest Common Factor of 81719 and 81736?

Greatest common factor (GCF) of 81719 and 81736 is 17.

GCF(81719,81736) = 17

We will now calculate the prime factors of 81719 and 81736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81719 and 81736.

How to find the GCF of 81719 and 81736?

We will first find the prime factorization of 81719 and 81736. After we will calculate the factors of 81719 and 81736 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 81736

Prime factors of 81736 are 2, 17, 601. Prime factorization of 81736 in exponential form is:

81736 = 2³ × 17¹ × 601¹

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 81736

List of positive integer factors of 81736 that divides 81719 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 601, 1202, 2404, 4808, 10217, 20434, 40868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81719 and 81736. The biggest common factor number is the GCF number.
So the greatest common factor 81719 and 81736 is 17.

Also check out the Least Common Multiple of 81719 and 81736