What is the Greatest Common Factor of 81696 and 81714?

Greatest common factor (GCF) of 81696 and 81714 is 6.

GCF(81696,81714) = 6

We will now calculate the prime factors of 81696 and 81714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81696 and 81714.

How to find the GCF of 81696 and 81714?

We will first find the prime factorization of 81696 and 81714. After we will calculate the factors of 81696 and 81714 and find the biggest common factor number .

Step-1: Prime Factorization of 81696

Prime factors of 81696 are 2, 3, 23, 37. Prime factorization of 81696 in exponential form is:

81696 = 2⁵ × 3¹ × 23¹ × 37¹

Step-2: Prime Factorization of 81714

Prime factors of 81714 are 2, 3, 13619. Prime factorization of 81714 in exponential form is:

81714 = 2¹ × 3¹ × 13619¹

Step-3: Factors of 81696

List of positive integer factors of 81696 that divides 81696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 37, 46, 48, 69, 74, 92, 96, 111, 138, 148, 184, 222, 276, 296, 368, 444, 552, 592, 736, 851, 888, 1104, 1184, 1702, 1776, 2208, 2553, 3404, 3552, 5106, 6808, 10212, 13616, 20424, 27232, 40848

Step-4: Factors of 81714

List of positive integer factors of 81714 that divides 81696 without a remainder.

1, 2, 3, 6, 13619, 27238, 40857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81696 and 81714. The biggest common factor number is the GCF number.
So the greatest common factor 81696 and 81714 is 6.

Also check out the Least Common Multiple of 81696 and 81714