What is the Greatest Common Factor of 81849 and 81855?

Greatest common factor (GCF) of 81849 and 81855 is 3.

GCF(81849,81855) = 3

We will now calculate the prime factors of 81849 and 81855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81849 and 81855.

How to find the GCF of 81849 and 81855?

We will first find the prime factorization of 81849 and 81855. After we will calculate the factors of 81849 and 81855 and find the biggest common factor number .

Step-1: Prime Factorization of 81849

Prime factors of 81849 are 3, 27283. Prime factorization of 81849 in exponential form is:

81849 = 3¹ × 27283¹

Step-2: 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-3: Factors of 81849

List of positive integer factors of 81849 that divides 81849 without a remainder.

1, 3, 27283

Step-4: Factors of 81855

List of positive integer factors of 81855 that divides 81849 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81849 and 81855. The biggest common factor number is the GCF number.
So the greatest common factor 81849 and 81855 is 3.

Also check out the Least Common Multiple of 81849 and 81855