What is the Greatest Common Factor of 81681 and 81700?

Greatest common factor (GCF) of 81681 and 81700 is 19.

GCF(81681,81700) = 19

We will now calculate the prime factors of 81681 and 81700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81681 and 81700.

How to find the GCF of 81681 and 81700?

We will first find the prime factorization of 81681 and 81700. After we will calculate the factors of 81681 and 81700 and find the biggest common factor number .

Step-1: Prime Factorization of 81681

Prime factors of 81681 are 3, 19, 1433. Prime factorization of 81681 in exponential form is:

81681 = 3¹ × 19¹ × 1433¹

Step-2: Prime Factorization of 81700

Prime factors of 81700 are 2, 5, 19, 43. Prime factorization of 81700 in exponential form is:

81700 = 2² × 5² × 19¹ × 43¹

Step-3: Factors of 81681

List of positive integer factors of 81681 that divides 81681 without a remainder.

1, 3, 19, 57, 1433, 4299, 27227

Step-4: Factors of 81700

List of positive integer factors of 81700 that divides 81681 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 43, 50, 76, 86, 95, 100, 172, 190, 215, 380, 430, 475, 817, 860, 950, 1075, 1634, 1900, 2150, 3268, 4085, 4300, 8170, 16340, 20425, 40850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81681 and 81700. The biggest common factor number is the GCF number.
So the greatest common factor 81681 and 81700 is 19.

Also check out the Least Common Multiple of 81681 and 81700