What is the Greatest Common Factor of 81858 and 81873?

Greatest common factor (GCF) of 81858 and 81873 is 3.

GCF(81858,81873) = 3

We will now calculate the prime factors of 81858 and 81873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81858 and 81873.

How to find the GCF of 81858 and 81873?

We will first find the prime factorization of 81858 and 81873. After we will calculate the factors of 81858 and 81873 and find the biggest common factor number .

Step-1: Prime Factorization of 81858

Prime factors of 81858 are 2, 3, 7, 1949. Prime factorization of 81858 in exponential form is:

81858 = 2¹ × 3¹ × 7¹ × 1949¹

Step-2: Prime Factorization of 81873

Prime factors of 81873 are 3, 11, 827. Prime factorization of 81873 in exponential form is:

81873 = 3² × 11¹ × 827¹

Step-3: Factors of 81858

List of positive integer factors of 81858 that divides 81858 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1949, 3898, 5847, 11694, 13643, 27286, 40929

Step-4: Factors of 81873

List of positive integer factors of 81873 that divides 81858 without a remainder.

1, 3, 9, 11, 33, 99, 827, 2481, 7443, 9097, 27291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81858 and 81873. The biggest common factor number is the GCF number.
So the greatest common factor 81858 and 81873 is 3.

Also check out the Least Common Multiple of 81858 and 81873