What is the Greatest Common Factor of 81852 and 81859?

Greatest common factor (GCF) of 81852 and 81859 is 1.

GCF(81852,81859) = 1

We will now calculate the prime factors of 81852 and 81859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81852 and 81859.

How to find the GCF of 81852 and 81859?

We will first find the prime factorization of 81852 and 81859. After we will calculate the factors of 81852 and 81859 and find the biggest common factor number .

Step-1: Prime Factorization of 81852

Prime factors of 81852 are 2, 3, 19, 359. Prime factorization of 81852 in exponential form is:

81852 = 2² × 3¹ × 19¹ × 359¹

Step-2: Prime Factorization of 81859

Prime factors of 81859 are 109, 751. Prime factorization of 81859 in exponential form is:

81859 = 109¹ × 751¹

Step-3: Factors of 81852

List of positive integer factors of 81852 that divides 81852 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 359, 718, 1077, 1436, 2154, 4308, 6821, 13642, 20463, 27284, 40926

Step-4: Factors of 81859

List of positive integer factors of 81859 that divides 81852 without a remainder.

1, 109, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81852 and 81859. The biggest common factor number is the GCF number.
So the greatest common factor 81852 and 81859 is 1.

Also check out the Least Common Multiple of 81852 and 81859