What is the Greatest Common Factor of 81708 and 81723?

Greatest common factor (GCF) of 81708 and 81723 is 3.

GCF(81708,81723) = 3

We will now calculate the prime factors of 81708 and 81723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81708 and 81723.

How to find the GCF of 81708 and 81723?

We will first find the prime factorization of 81708 and 81723. After we will calculate the factors of 81708 and 81723 and find the biggest common factor number .

Step-1: Prime Factorization of 81708

Prime factors of 81708 are 2, 3, 11, 619. Prime factorization of 81708 in exponential form is:

81708 = 2² × 3¹ × 11¹ × 619¹

Step-2: Prime Factorization of 81723

Prime factors of 81723 are 3, 27241. Prime factorization of 81723 in exponential form is:

81723 = 3¹ × 27241¹

Step-3: Factors of 81708

List of positive integer factors of 81708 that divides 81708 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 619, 1238, 1857, 2476, 3714, 6809, 7428, 13618, 20427, 27236, 40854

Step-4: Factors of 81723

List of positive integer factors of 81723 that divides 81708 without a remainder.

1, 3, 27241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81708 and 81723. The biggest common factor number is the GCF number.
So the greatest common factor 81708 and 81723 is 3.

Also check out the Least Common Multiple of 81708 and 81723