What is the Greatest Common Factor of 81835 and 81855?

Greatest common factor (GCF) of 81835 and 81855 is 5.

GCF(81835,81855) = 5

We will now calculate the prime factors of 81835 and 81855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81835 and 81855.

How to find the GCF of 81835 and 81855?

We will first find the prime factorization of 81835 and 81855. After we will calculate the factors of 81835 and 81855 and find the biggest common factor number .

Step-1: Prime Factorization of 81835

Prime factors of 81835 are 5, 13, 1259. Prime factorization of 81835 in exponential form is:

81835 = 5¹ × 13¹ × 1259¹

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 81835

List of positive integer factors of 81835 that divides 81835 without a remainder.

1, 5, 13, 65, 1259, 6295, 16367

Step-4: Factors of 81855

List of positive integer factors of 81855 that divides 81835 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 81835 and 81855. The biggest common factor number is the GCF number.
So the greatest common factor 81835 and 81855 is 5.

Also check out the Least Common Multiple of 81835 and 81855