What is the Greatest Common Factor of 81855 and 81860?

Greatest common factor (GCF) of 81855 and 81860 is 5.

GCF(81855,81860) = 5

We will now calculate the prime factors of 81855 and 81860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81855 and 81860.

How to find the GCF of 81855 and 81860?

We will first find the prime factorization of 81855 and 81860. After we will calculate the factors of 81855 and 81860 and find the biggest common factor number .

Step-1: Prime Factorization of 81855

Prime factors of 81855 are 3, 5, 17, 107. Prime factorization of 81855 in exponential form is:

81855 = 3² × 5¹ × 17¹ × 107¹

Step-2: 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-3: Factors of 81855

List of positive integer factors of 81855 that divides 81855 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 107, 153, 255, 321, 535, 765, 963, 1605, 1819, 4815, 5457, 9095, 16371, 27285

Step-4: Factors of 81860

List of positive integer factors of 81860 that divides 81855 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81855 and 81860. The biggest common factor number is the GCF number.
So the greatest common factor 81855 and 81860 is 5.

Also check out the Least Common Multiple of 81855 and 81860