What is the Greatest Common Factor of 81860 and 81870?

Greatest common factor (GCF) of 81860 and 81870 is 10.

GCF(81860,81870) = 10

We will now calculate the prime factors of 81860 and 81870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81860 and 81870.

How to find the GCF of 81860 and 81870?

We will first find the prime factorization of 81860 and 81870. After we will calculate the factors of 81860 and 81870 and find the biggest common factor number .

Step-1: Prime Factorization of 81860

Prime factors of 81860 are 2, 5, 4093. Prime factorization of 81860 in exponential form is:

81860 = 2² × 5¹ × 4093¹

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 81860

List of positive integer factors of 81860 that divides 81860 without a remainder.

1, 2, 4, 5, 10, 20, 4093, 8186, 16372, 20465, 40930

Step-4: Factors of 81870

List of positive integer factors of 81870 that divides 81860 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 81860 and 81870. The biggest common factor number is the GCF number.
So the greatest common factor 81860 and 81870 is 10.

Also check out the Least Common Multiple of 81860 and 81870