What is the Greatest Common Factor of 81870 and 81882?

Greatest common factor (GCF) of 81870 and 81882 is 6.

GCF(81870,81882) = 6

We will now calculate the prime factors of 81870 and 81882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81870 and 81882.

How to find the GCF of 81870 and 81882?

We will first find the prime factorization of 81870 and 81882. After we will calculate the factors of 81870 and 81882 and find the biggest common factor number .

Step-1: Prime Factorization of 81870

Prime factors of 81870 are 2, 3, 5, 2729. Prime factorization of 81870 in exponential form is:

81870 = 2¹ × 3¹ × 5¹ × 2729¹

Step-2: Prime Factorization of 81882

Prime factors of 81882 are 2, 3, 4549. Prime factorization of 81882 in exponential form is:

81882 = 2¹ × 3² × 4549¹

Step-3: Factors of 81870

List of positive integer factors of 81870 that divides 81870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2729, 5458, 8187, 13645, 16374, 27290, 40935

Step-4: Factors of 81882

List of positive integer factors of 81882 that divides 81870 without a remainder.

1, 2, 3, 6, 9, 18, 4549, 9098, 13647, 27294, 40941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81870 and 81882. The biggest common factor number is the GCF number.
So the greatest common factor 81870 and 81882 is 6.

Also check out the Least Common Multiple of 81870 and 81882