What is the Greatest Common Factor of 81864 and 81870?

Greatest common factor (GCF) of 81864 and 81870 is 6.

GCF(81864,81870) = 6

We will now calculate the prime factors of 81864 and 81870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81864 and 81870.

How to find the GCF of 81864 and 81870?

We will first find the prime factorization of 81864 and 81870. After we will calculate the factors of 81864 and 81870 and find the biggest common factor number .

Step-1: Prime Factorization of 81864

Prime factors of 81864 are 2, 3, 379. Prime factorization of 81864 in exponential form is:

81864 = 2³ × 3³ × 379¹

Step-2: 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-3: Factors of 81864

List of positive integer factors of 81864 that divides 81864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 379, 758, 1137, 1516, 2274, 3032, 3411, 4548, 6822, 9096, 10233, 13644, 20466, 27288, 40932

Step-4: Factors of 81870

List of positive integer factors of 81870 that divides 81864 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81864 and 81870. The biggest common factor number is the GCF number.
So the greatest common factor 81864 and 81870 is 6.

Also check out the Least Common Multiple of 81864 and 81870